Finding the Third Proportional to 305,638.50 and 472,308

Step by Step Solution

1. Step 1: Write the proportion equation
   305,638.50 : 472,308 = 472,308 : x
2. Step 2: Convert to fraction form
   305,638.50/472,308 = 472,308/x
3. Step 3: Cross multiply
   305,638.50x = 472,308 × 472,308
4. Step 4: Simplify right side
   305,638.50x = 223,074,846,864
5. Step 5: Solve for x
   x = 223,074,846,864/305,638.50
6. Step 6: Final answer
   x = 729,865.01