Finding the Third Proportional to 175,439,708,810 and 384,512,359,323

Step by Step Solution

1. Step 1: Write the proportion equation
   175,439,708,810 : 384,512,359,323 = 384,512,359,323 : x
2. Step 2: Convert to fraction form
   175,439,708,810/384,512,359,323 = 384,512,359,323/x
3. Step 3: Cross multiply
   175,439,708,810x = 384,512,359,323 × 384,512,359,323
4. Step 4: Simplify right side
   175,439,708,810x = 147,849,754,472,139,863,359,488
5. Step 5: Solve for x
   x = 147,849,754,472,139,863,359,488/175,439,708,810
6. Step 6: Final answer
   x = 842,738,257,347.77