Finding the Third Proportional to 91,791 and 129,253.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,791 : 129,253.50 = 129,253.50 : x
2. Step 2: Convert to fraction form
   91,791/129,253.50 = 129,253.50/x
3. Step 3: Cross multiply
   91,791x = 129,253.50 × 129,253.50
4. Step 4: Simplify right side
   91,791x = 16,706,467,262.25
5. Step 5: Solve for x
   x = 16,706,467,262.25/91,791
6. Step 6: Final answer
   x = 182,005.50