Finding the Third Proportional to 83,769,984,972 and 133,359,041,646

Step by Step Solution

1. Step 1: Write the proportion equation
   83,769,984,972 : 133,359,041,646 = 133,359,041,646 : x
2. Step 2: Convert to fraction form
   83,769,984,972/133,359,041,646 = 133,359,041,646/x
3. Step 3: Cross multiply
   83,769,984,972x = 133,359,041,646 × 133,359,041,646
4. Step 4: Simplify right side
   83,769,984,972x = 17,784,633,988,739,562,995,712
5. Step 5: Solve for x
   x = 17,784,633,988,739,562,995,712/83,769,984,972
6. Step 6: Final answer
   x = 212,303,177,500.68