Finding the Third Proportional to 138,777 and 297,229.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,777 : 297,229.50 = 297,229.50 : x
2. Step 2: Convert to fraction form
   138,777/297,229.50 = 297,229.50/x
3. Step 3: Cross multiply
   138,777x = 297,229.50 × 297,229.50
4. Step 4: Simplify right side
   138,777x = 88,345,375,670.25
5. Step 5: Solve for x
   x = 88,345,375,670.25/138,777
6. Step 6: Final answer
   x = 636,599.55