Finding the Third Proportional to 123,501.38 and 265,727.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,501.38 : 265,727.25 = 265,727.25 : x
2. Step 2: Convert to fraction form
   123,501.38/265,727.25 = 265,727.25/x
3. Step 3: Cross multiply
   123,501.38x = 265,727.25 × 265,727.25
4. Step 4: Simplify right side
   123,501.38x = 70,610,971,392.56
5. Step 5: Solve for x
   x = 70,610,971,392.56/123,501.38
6. Step 6: Final answer
   x = 571,742.39