Finding the Third Proportional to 267,807 and 355,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   267,807 : 355,417.50 = 355,417.50 : x
2. Step 2: Convert to fraction form
   267,807/355,417.50 = 355,417.50/x
3. Step 3: Cross multiply
   267,807x = 355,417.50 × 355,417.50
4. Step 4: Simplify right side
   267,807x = 126,321,599,306.25
5. Step 5: Solve for x
   x = 126,321,599,306.25/267,807
6. Step 6: Final answer
   x = 471,688.94