Finding the Third Proportional to 83,571 and 129,460.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,571 : 129,460.50 = 129,460.50 : x
2. Step 2: Convert to fraction form
   83,571/129,460.50 = 129,460.50/x
3. Step 3: Cross multiply
   83,571x = 129,460.50 × 129,460.50
4. Step 4: Simplify right side
   83,571x = 16,760,021,060.25
5. Step 5: Solve for x
   x = 16,760,021,060.25/83,571
6. Step 6: Final answer
   x = 200,548.29