Finding the Third Proportional to 138,109 and 213,265.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,109 : 213,265.50 = 213,265.50 : x
2. Step 2: Convert to fraction form
   138,109/213,265.50 = 213,265.50/x
3. Step 3: Cross multiply
   138,109x = 213,265.50 × 213,265.50
4. Step 4: Simplify right side
   138,109x = 45,482,173,490.25
5. Step 5: Solve for x
   x = 45,482,173,490.25/138,109
6. Step 6: Final answer
   x = 329,320.85