Finding the Third Proportional to 305,644.50 and 472,317

Step by Step Solution

1. Step 1: Write the proportion equation
   305,644.50 : 472,317 = 472,317 : x
2. Step 2: Convert to fraction form
   305,644.50/472,317 = 472,317/x
3. Step 3: Cross multiply
   305,644.50x = 472,317 × 472,317
4. Step 4: Simplify right side
   305,644.50x = 223,083,348,489
5. Step 5: Solve for x
   x = 223,083,348,489/305,644.50
6. Step 6: Final answer
   x = 729,878.50