Finding the Third Proportional to 124,082.25 and 269,158.50

Step by Step Solution

1. Step 1: Write the proportion equation
   124,082.25 : 269,158.50 = 269,158.50 : x
2. Step 2: Convert to fraction form
   124,082.25/269,158.50 = 269,158.50/x
3. Step 3: Cross multiply
   124,082.25x = 269,158.50 × 269,158.50
4. Step 4: Simplify right side
   124,082.25x = 72,446,298,122.25
5. Step 5: Solve for x
   x = 72,446,298,122.25/124,082.25
6. Step 6: Final answer
   x = 583,857.06