Finding the Third Proportional to 135,675 and 298,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,675 : 298,417.50 = 298,417.50 : x
2. Step 2: Convert to fraction form
   135,675/298,417.50 = 298,417.50/x
3. Step 3: Cross multiply
   135,675x = 298,417.50 × 298,417.50
4. Step 4: Simplify right side
   135,675x = 89,053,004,306.25
5. Step 5: Solve for x
   x = 89,053,004,306.25/135,675
6. Step 6: Final answer
   x = 656,370.03