Finding the Third Proportional to 78,701 and 172,162

Step by Step Solution

1. Step 1: Write the proportion equation
   78,701 : 172,162 = 172,162 : x
2. Step 2: Convert to fraction form
   78,701/172,162 = 172,162/x
3. Step 3: Cross multiply
   78,701x = 172,162 × 172,162
4. Step 4: Simplify right side
   78,701x = 29,639,754,244
5. Step 5: Solve for x
   x = 29,639,754,244/78,701
6. Step 6: Final answer
   x = 376,612.17