Finding the Third Proportional to 231,174 and 338,762.25

Step by Step Solution

1. Step 1: Write the proportion equation
   231,174 : 338,762.25 = 338,762.25 : x
2. Step 2: Convert to fraction form
   231,174/338,762.25 = 338,762.25/x
3. Step 3: Cross multiply
   231,174x = 338,762.25 × 338,762.25
4. Step 4: Simplify right side
   231,174x = 114,759,862,025.06
5. Step 5: Solve for x
   x = 114,759,862,025.06/231,174
6. Step 6: Final answer
   x = 496,422.01