Finding the Third Proportional to 642,379,078,386 and 971,844,013,392

Step by Step Solution

1. Step 1: Write the proportion equation
   642,379,078,386 : 971,844,013,392 = 971,844,013,392 : x
2. Step 2: Convert to fraction form
   642,379,078,386/971,844,013,392 = 971,844,013,392/x
3. Step 3: Cross multiply
   642,379,078,386x = 971,844,013,392 × 971,844,013,392
4. Step 4: Simplify right side
   642,379,078,386x = 944,480,786,365,869,826,506,752
5. Step 5: Solve for x
   x = 944,480,786,365,869,826,506,752/642,379,078,386
6. Step 6: Final answer
   x = 1,470,285,720,915.62