Finding the Third Proportional to 268,537.50 and 591,066

Step by Step Solution

1. Step 1: Write the proportion equation
   268,537.50 : 591,066 = 591,066 : x
2. Step 2: Convert to fraction form
   268,537.50/591,066 = 591,066/x
3. Step 3: Cross multiply
   268,537.50x = 591,066 × 591,066
4. Step 4: Simplify right side
   268,537.50x = 349,359,016,356
5. Step 5: Solve for x
   x = 349,359,016,356/268,537.50
6. Step 6: Final answer
   x = 1,300,969.20