Finding the Third Proportional to 72,614 and 157,290

Step by Step Solution

1. Step 1: Write the proportion equation
   72,614 : 157,290 = 157,290 : x
2. Step 2: Convert to fraction form
   72,614/157,290 = 157,290/x
3. Step 3: Cross multiply
   72,614x = 157,290 × 157,290
4. Step 4: Simplify right side
   72,614x = 24,740,144,100
5. Step 5: Solve for x
   x = 24,740,144,100/72,614
6. Step 6: Final answer
   x = 340,707.63