Finding the Third Proportional to 138,295.50 and 213,585

Step by Step Solution

1. Step 1: Write the proportion equation
   138,295.50 : 213,585 = 213,585 : x
2. Step 2: Convert to fraction form
   138,295.50/213,585 = 213,585/x
3. Step 3: Cross multiply
   138,295.50x = 213,585 × 213,585
4. Step 4: Simplify right side
   138,295.50x = 45,618,552,225
5. Step 5: Solve for x
   x = 45,618,552,225/138,295.50
6. Step 6: Final answer
   x = 329,862.88