Finding the Third Proportional to 83,769,984,974 and 133,359,041,649

Step by Step Solution

1. Step 1: Write the proportion equation
   83,769,984,974 : 133,359,041,649 = 133,359,041,649 : x
2. Step 2: Convert to fraction form
   83,769,984,974/133,359,041,649 = 133,359,041,649/x
3. Step 3: Cross multiply
   83,769,984,974x = 133,359,041,649 × 133,359,041,649
4. Step 4: Simplify right side
   83,769,984,974x = 17,784,633,989,539,716,661,248
5. Step 5: Solve for x
   x = 17,784,633,989,539,716,661,248/83,769,984,974
6. Step 6: Final answer
   x = 212,303,177,505.16