Finding the Third Proportional to 138,057 and 299,170.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,057 : 299,170.50 = 299,170.50 : x
2. Step 2: Convert to fraction form
   138,057/299,170.50 = 299,170.50/x
3. Step 3: Cross multiply
   138,057x = 299,170.50 × 299,170.50
4. Step 4: Simplify right side
   138,057x = 89,502,988,070.25
5. Step 5: Solve for x
   x = 89,502,988,070.25/138,057
6. Step 6: Final answer
   x = 648,304.60