Finding the Third Proportional to 138,788 and 297,256

Step by Step Solution

1. Step 1: Write the proportion equation
   138,788 : 297,256 = 297,256 : x
2. Step 2: Convert to fraction form
   138,788/297,256 = 297,256/x
3. Step 3: Cross multiply
   138,788x = 297,256 × 297,256
4. Step 4: Simplify right side
   138,788x = 88,361,129,536
5. Step 5: Solve for x
   x = 88,361,129,536/138,788
6. Step 6: Final answer
   x = 636,662.60