Finding the Third Proportional to 123,697.50 and 269,613

Step by Step Solution

1. Step 1: Write the proportion equation
   123,697.50 : 269,613 = 269,613 : x
2. Step 2: Convert to fraction form
   123,697.50/269,613 = 269,613/x
3. Step 3: Cross multiply
   123,697.50x = 269,613 × 269,613
4. Step 4: Simplify right side
   123,697.50x = 72,691,169,769
5. Step 5: Solve for x
   x = 72,691,169,769/123,697.50
6. Step 6: Final answer
   x = 587,652.70