Finding the Third Proportional to 72,472 and 152,824

Step by Step Solution

1. Step 1: Write the proportion equation
   72,472 : 152,824 = 152,824 : x
2. Step 2: Convert to fraction form
   72,472/152,824 = 152,824/x
3. Step 3: Cross multiply
   72,472x = 152,824 × 152,824
4. Step 4: Simplify right side
   72,472x = 23,355,174,976
5. Step 5: Solve for x
   x = 23,355,174,976/72,472
6. Step 6: Final answer
   x = 322,264.81