Finding the Third Proportional to 472,023 and 725,953.50

Step by Step Solution

1. Step 1: Write the proportion equation
   472,023 : 725,953.50 = 725,953.50 : x
2. Step 2: Convert to fraction form
   472,023/725,953.50 = 725,953.50/x
3. Step 3: Cross multiply
   472,023x = 725,953.50 × 725,953.50
4. Step 4: Simplify right side
   472,023x = 527,008,484,162.25
5. Step 5: Solve for x
   x = 527,008,484,162.25/472,023
6. Step 6: Final answer
   x = 1,116,488.99