Finding the Third Proportional to 138,024 and 297,165.38

Step by Step Solution

1. Step 1: Write the proportion equation
   138,024 : 297,165.38 = 297,165.38 : x
2. Step 2: Convert to fraction form
   138,024/297,165.38 = 297,165.38/x
3. Step 3: Cross multiply
   138,024x = 297,165.38 × 297,165.38
4. Step 4: Simplify right side
   138,024x = 88,307,260,098.89
5. Step 5: Solve for x
   x = 88,307,260,098.89/138,024
6. Step 6: Final answer
   x = 639,796.41