Finding the Third Proportional to 78,664,361,882 and 173,019,253,564

Step by Step Solution

1. Step 1: Write the proportion equation
   78,664,361,882 : 173,019,253,564 = 173,019,253,564 : x
2. Step 2: Convert to fraction form
   78,664,361,882/173,019,253,564 = 173,019,253,564/x
3. Step 3: Cross multiply
   78,664,361,882x = 173,019,253,564 × 173,019,253,564
4. Step 4: Simplify right side
   78,664,361,882x = 29,935,662,103,843,724,853,248
5. Step 5: Solve for x
   x = 29,935,662,103,843,724,853,248/78,664,361,882
6. Step 6: Final answer
   x = 380,549,226,964.41