Finding the Third Proportional to 116,227.50 and 254,565

Step by Step Solution

1. Step 1: Write the proportion equation
   116,227.50 : 254,565 = 254,565 : x
2. Step 2: Convert to fraction form
   116,227.50/254,565 = 254,565/x
3. Step 3: Cross multiply
   116,227.50x = 254,565 × 254,565
4. Step 4: Simplify right side
   116,227.50x = 64,803,339,225
5. Step 5: Solve for x
   x = 64,803,339,225/116,227.50
6. Step 6: Final answer
   x = 557,555.99