Finding the Third Proportional to 123,123.80 and 269,601.54

Step by Step Solution

1. Step 1: Write the proportion equation
   123,123.80 : 269,601.54 = 269,601.54 : x
2. Step 2: Convert to fraction form
   123,123.80/269,601.54 = 269,601.54/x
3. Step 3: Cross multiply
   123,123.80x = 269,601.54 × 269,601.54
4. Step 4: Simplify right side
   123,123.80x = 72,684,989,864.87
5. Step 5: Solve for x
   x = 72,684,989,864.87/123,123.80
6. Step 6: Final answer
   x = 590,340.71