Finding the Third Proportional to 72,522 and 158,328

Step by Step Solution

1. Step 1: Write the proportion equation
   72,522 : 158,328 = 158,328 : x
2. Step 2: Convert to fraction form
   72,522/158,328 = 158,328/x
3. Step 3: Cross multiply
   72,522x = 158,328 × 158,328
4. Step 4: Simplify right side
   72,522x = 25,067,755,584
5. Step 5: Solve for x
   x = 25,067,755,584/72,522
6. Step 6: Final answer
   x = 345,657.26