Finding the Third Proportional to 69,776,486,292 and 152,181,782,264

Step by Step Solution

1. Step 1: Write the proportion equation
   69,776,486,292 : 152,181,782,264 = 152,181,782,264 : x
2. Step 2: Convert to fraction form
   69,776,486,292/152,181,782,264 = 152,181,782,264/x
3. Step 3: Cross multiply
   69,776,486,292x = 152,181,782,264 × 152,181,782,264
4. Step 4: Simplify right side
   69,776,486,292x = 23,159,294,853,047,505,649,664
5. Step 5: Solve for x
   x = 23,159,294,853,047,505,649,664/69,776,486,292
6. Step 6: Final answer
   x = 331,906,865,532.48