Finding the Third Proportional to 112,228 and 172,492

Step by Step Solution

1. Step 1: Write the proportion equation
   112,228 : 172,492 = 172,492 : x
2. Step 2: Convert to fraction form
   112,228/172,492 = 172,492/x
3. Step 3: Cross multiply
   112,228x = 172,492 × 172,492
4. Step 4: Simplify right side
   112,228x = 29,753,490,064
5. Step 5: Solve for x
   x = 29,753,490,064/112,228
6. Step 6: Final answer
   x = 265,116.46