Finding the Third Proportional to 78,870 and 172,014

Step by Step Solution

1. Step 1: Write the proportion equation
   78,870 : 172,014 = 172,014 : x
2. Step 2: Convert to fraction form
   78,870/172,014 = 172,014/x
3. Step 3: Cross multiply
   78,870x = 172,014 × 172,014
4. Step 4: Simplify right side
   78,870x = 29,588,816,196
5. Step 5: Solve for x
   x = 29,588,816,196/78,870
6. Step 6: Final answer
   x = 375,159.33