Finding the Third Proportional to 267,643 and 394,070.50

Step by Step Solution

1. Step 1: Write the proportion equation
   267,643 : 394,070.50 = 394,070.50 : x
2. Step 2: Convert to fraction form
   267,643/394,070.50 = 394,070.50/x
3. Step 3: Cross multiply
   267,643x = 394,070.50 × 394,070.50
4. Step 4: Simplify right side
   267,643x = 155,291,558,970.25
5. Step 5: Solve for x
   x = 155,291,558,970.25/267,643
6. Step 6: Final answer
   x = 580,219.02