Finding the Third Proportional to 138,758 and 297,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,758 : 297,199.50 = 297,199.50 : x
2. Step 2: Convert to fraction form
   138,758/297,199.50 = 297,199.50/x
3. Step 3: Cross multiply
   138,758x = 297,199.50 × 297,199.50
4. Step 4: Simplify right side
   138,758x = 88,327,542,800.25
5. Step 5: Solve for x
   x = 88,327,542,800.25/138,758
6. Step 6: Final answer
   x = 636,558.20