Finding the Third Proportional to 138,433.50 and 203,762

Step by Step Solution

1. Step 1: Write the proportion equation
   138,433.50 : 203,762 = 203,762 : x
2. Step 2: Convert to fraction form
   138,433.50/203,762 = 203,762/x
3. Step 3: Cross multiply
   138,433.50x = 203,762 × 203,762
4. Step 4: Simplify right side
   138,433.50x = 41,518,952,644
5. Step 5: Solve for x
   x = 41,518,952,644/138,433.50
6. Step 6: Final answer
   x = 299,919.84