Finding the Third Proportional to 83,088.50 and 182,791

Step by Step Solution

1. Step 1: Write the proportion equation
   83,088.50 : 182,791 = 182,791 : x
2. Step 2: Convert to fraction form
   83,088.50/182,791 = 182,791/x
3. Step 3: Cross multiply
   83,088.50x = 182,791 × 182,791
4. Step 4: Simplify right side
   83,088.50x = 33,412,549,681
5. Step 5: Solve for x
   x = 33,412,549,681/83,088.50
6. Step 6: Final answer
   x = 402,132.06