Finding the Third Proportional to 102,582 and 231,505.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,582 : 231,505.50 = 231,505.50 : x
2. Step 2: Convert to fraction form
   102,582/231,505.50 = 231,505.50/x
3. Step 3: Cross multiply
   102,582x = 231,505.50 × 231,505.50
4. Step 4: Simplify right side
   102,582x = 53,594,796,530.25
5. Step 5: Solve for x
   x = 53,594,796,530.25/102,582
6. Step 6: Final answer
   x = 522,458.10