Finding the Third Proportional to 182,399 and 291,391.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,399 : 291,391.50 = 291,391.50 : x
2. Step 2: Convert to fraction form
   182,399/291,391.50 = 291,391.50/x
3. Step 3: Cross multiply
   182,399x = 291,391.50 × 291,391.50
4. Step 4: Simplify right side
   182,399x = 84,909,006,272.25
5. Step 5: Solve for x
   x = 84,909,006,272.25/182,399
6. Step 6: Final answer
   x = 465,512.45