Finding the Third Proportional to 78,828 and 172,986

Step by Step Solution

1. Step 1: Write the proportion equation
   78,828 : 172,986 = 172,986 : x
2. Step 2: Convert to fraction form
   78,828/172,986 = 172,986/x
3. Step 3: Cross multiply
   78,828x = 172,986 × 172,986
4. Step 4: Simplify right side
   78,828x = 29,924,156,196
5. Step 5: Solve for x
   x = 29,924,156,196/78,828
6. Step 6: Final answer
   x = 379,613.29