Finding the Third Proportional to 57,530.25 and 123,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,530.25 : 123,322.50 = 123,322.50 : x
2. Step 2: Convert to fraction form
   57,530.25/123,322.50 = 123,322.50/x
3. Step 3: Cross multiply
   57,530.25x = 123,322.50 × 123,322.50
4. Step 4: Simplify right side
   57,530.25x = 15,208,439,006.25
5. Step 5: Solve for x
   x = 15,208,439,006.25/57,530.25
6. Step 6: Final answer
   x = 264,355.52