Finding the Third Proportional to 76,856 and 157,540

Step by Step Solution

1. Step 1: Write the proportion equation
   76,856 : 157,540 = 157,540 : x
2. Step 2: Convert to fraction form
   76,856/157,540 = 157,540/x
3. Step 3: Cross multiply
   76,856x = 157,540 × 157,540
4. Step 4: Simplify right side
   76,856x = 24,818,851,600
5. Step 5: Solve for x
   x = 24,818,851,600/76,856
6. Step 6: Final answer
   x = 322,926.66