Finding the Third Proportional to 307,767.50 and 472,768

Step by Step Solution

1. Step 1: Write the proportion equation
   307,767.50 : 472,768 = 472,768 : x
2. Step 2: Convert to fraction form
   307,767.50/472,768 = 472,768/x
3. Step 3: Cross multiply
   307,767.50x = 472,768 × 472,768
4. Step 4: Simplify right side
   307,767.50x = 223,509,581,824
5. Step 5: Solve for x
   x = 223,509,581,824/307,767.50
6. Step 6: Final answer
   x = 726,228.67