Finding the Third Proportional to 274,659 and 424,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   274,659 : 424,432.50 = 424,432.50 : x
2. Step 2: Convert to fraction form
   274,659/424,432.50 = 424,432.50/x
3. Step 3: Cross multiply
   274,659x = 424,432.50 × 424,432.50
4. Step 4: Simplify right side
   274,659x = 180,142,947,056.25
5. Step 5: Solve for x
   x = 180,142,947,056.25/274,659
6. Step 6: Final answer
   x = 655,878.55