Finding the Third Proportional to 123,145.75 and 265,288.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,145.75 : 265,288.50 = 265,288.50 : x
2. Step 2: Convert to fraction form
   123,145.75/265,288.50 = 265,288.50/x
3. Step 3: Cross multiply
   123,145.75x = 265,288.50 × 265,288.50
4. Step 4: Simplify right side
   123,145.75x = 70,377,988,232.25
5. Step 5: Solve for x
   x = 70,377,988,232.25/123,145.75
6. Step 6: Final answer
   x = 571,501.56