Finding the Third Proportional to 72,524 and 158,332

Step by Step Solution

1. Step 1: Write the proportion equation
   72,524 : 158,332 = 158,332 : x
2. Step 2: Convert to fraction form
   72,524/158,332 = 158,332/x
3. Step 3: Cross multiply
   72,524x = 158,332 × 158,332
4. Step 4: Simplify right side
   72,524x = 25,069,022,224
5. Step 5: Solve for x
   x = 25,069,022,224/72,524
6. Step 6: Final answer
   x = 345,665.19