Finding the Third Proportional to 35,714 and 78,478

Step by Step Solution

1. Step 1: Write the proportion equation
   35,714 : 78,478 = 78,478 : x
2. Step 2: Convert to fraction form
   35,714/78,478 = 78,478/x
3. Step 3: Cross multiply
   35,714x = 78,478 × 78,478
4. Step 4: Simplify right side
   35,714x = 6,158,796,484
5. Step 5: Solve for x
   x = 6,158,796,484/35,714
6. Step 6: Final answer
   x = 172,447.68