Finding the Third Proportional to 138,609.50 and 298,535

Step by Step Solution

1. Step 1: Write the proportion equation
   138,609.50 : 298,535 = 298,535 : x
2. Step 2: Convert to fraction form
   138,609.50/298,535 = 298,535/x
3. Step 3: Cross multiply
   138,609.50x = 298,535 × 298,535
4. Step 4: Simplify right side
   138,609.50x = 89,123,146,225
5. Step 5: Solve for x
   x = 89,123,146,225/138,609.50
6. Step 6: Final answer
   x = 642,980.07