Finding the Third Proportional to 123,322.50 and 265,349.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,322.50 : 265,349.25 = 265,349.25 : x
2. Step 2: Convert to fraction form
   123,322.50/265,349.25 = 265,349.25/x
3. Step 3: Cross multiply
   123,322.50x = 265,349.25 × 265,349.25
4. Step 4: Simplify right side
   123,322.50x = 70,410,224,475.56
5. Step 5: Solve for x
   x = 70,410,224,475.56/123,322.50
6. Step 6: Final answer
   x = 570,943.86