Finding the Third Proportional to 72,704 and 158,566

Step by Step Solution

1. Step 1: Write the proportion equation
   72,704 : 158,566 = 158,566 : x
2. Step 2: Convert to fraction form
   72,704/158,566 = 158,566/x
3. Step 3: Cross multiply
   72,704x = 158,566 × 158,566
4. Step 4: Simplify right side
   72,704x = 25,143,176,356
5. Step 5: Solve for x
   x = 25,143,176,356/72,704
6. Step 6: Final answer
   x = 345,829.34