Finding the Third Proportional to 114,712 and 172,116

Step by Step Solution

1. Step 1: Write the proportion equation
   114,712 : 172,116 = 172,116 : x
2. Step 2: Convert to fraction form
   114,712/172,116 = 172,116/x
3. Step 3: Cross multiply
   114,712x = 172,116 × 172,116
4. Step 4: Simplify right side
   114,712x = 29,623,917,456
5. Step 5: Solve for x
   x = 29,623,917,456/114,712
6. Step 6: Final answer
   x = 258,246.02