Finding the Third Proportional to 73,500 and 152,664

Step by Step Solution

1. Step 1: Write the proportion equation
   73,500 : 152,664 = 152,664 : x
2. Step 2: Convert to fraction form
   73,500/152,664 = 152,664/x
3. Step 3: Cross multiply
   73,500x = 152,664 × 152,664
4. Step 4: Simplify right side
   73,500x = 23,306,296,896
5. Step 5: Solve for x
   x = 23,306,296,896/73,500
6. Step 6: Final answer
   x = 317,092.47