Finding the Third Proportional to 267,786 and 355,387.50

Step by Step Solution

1. Step 1: Write the proportion equation
   267,786 : 355,387.50 = 355,387.50 : x
2. Step 2: Convert to fraction form
   267,786/355,387.50 = 355,387.50/x
3. Step 3: Cross multiply
   267,786x = 355,387.50 × 355,387.50
4. Step 4: Simplify right side
   267,786x = 126,300,275,156.25
5. Step 5: Solve for x
   x = 126,300,275,156.25/267,786
6. Step 6: Final answer
   x = 471,646.30