Finding the Third Proportional to 296,320 and 470,725.50

Step by Step Solution

1. Step 1: Write the proportion equation
   296,320 : 470,725.50 = 470,725.50 : x
2. Step 2: Convert to fraction form
   296,320/470,725.50 = 470,725.50/x
3. Step 3: Cross multiply
   296,320x = 470,725.50 × 470,725.50
4. Step 4: Simplify right side
   296,320x = 221,582,496,350.25
5. Step 5: Solve for x
   x = 221,582,496,350.25/296,320
6. Step 6: Final answer
   x = 747,781.10