Finding the Third Proportional to 83,511 and 129,510

Step by Step Solution

1. Step 1: Write the proportion equation
   83,511 : 129,510 = 129,510 : x
2. Step 2: Convert to fraction form
   83,511/129,510 = 129,510/x
3. Step 3: Cross multiply
   83,511x = 129,510 × 129,510
4. Step 4: Simplify right side
   83,511x = 16,772,840,100
5. Step 5: Solve for x
   x = 16,772,840,100/83,511
6. Step 6: Final answer
   x = 200,845.88