Finding the Third Proportional to 267,971.50 and 426,557.50

Step by Step Solution

1. Step 1: Write the proportion equation
   267,971.50 : 426,557.50 = 426,557.50 : x
2. Step 2: Convert to fraction form
   267,971.50/426,557.50 = 426,557.50/x
3. Step 3: Cross multiply
   267,971.50x = 426,557.50 × 426,557.50
4. Step 4: Simplify right side
   267,971.50x = 181,951,300,806.25
5. Step 5: Solve for x
   x = 181,951,300,806.25/267,971.50
6. Step 6: Final answer
   x = 678,994.97