Finding the Third Proportional to 71,608 and 157,510

Step by Step Solution

1. Step 1: Write the proportion equation
   71,608 : 157,510 = 157,510 : x
2. Step 2: Convert to fraction form
   71,608/157,510 = 157,510/x
3. Step 3: Cross multiply
   71,608x = 157,510 × 157,510
4. Step 4: Simplify right side
   71,608x = 24,809,400,100
5. Step 5: Solve for x
   x = 24,809,400,100/71,608
6. Step 6: Final answer
   x = 346,461.29