Finding the Third Proportional to 294,742 and 441,657.50

Step by Step Solution

1. Step 1: Write the proportion equation
   294,742 : 441,657.50 = 441,657.50 : x
2. Step 2: Convert to fraction form
   294,742/441,657.50 = 441,657.50/x
3. Step 3: Cross multiply
   294,742x = 441,657.50 × 441,657.50
4. Step 4: Simplify right side
   294,742x = 195,061,347,306.25
5. Step 5: Solve for x
   x = 195,061,347,306.25/294,742
6. Step 6: Final answer
   x = 661,803.70