Finding the Third Proportional to 115,656 and 267,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,656 : 267,727.50 = 267,727.50 : x
2. Step 2: Convert to fraction form
   115,656/267,727.50 = 267,727.50/x
3. Step 3: Cross multiply
   115,656x = 267,727.50 × 267,727.50
4. Step 4: Simplify right side
   115,656x = 71,678,014,256.25
5. Step 5: Solve for x
   x = 71,678,014,256.25/115,656
6. Step 6: Final answer
   x = 619,751.80