Finding the Third Proportional to 82,276 and 111,492

Step by Step Solution

1. Step 1: Write the proportion equation
   82,276 : 111,492 = 111,492 : x
2. Step 2: Convert to fraction form
   82,276/111,492 = 111,492/x
3. Step 3: Cross multiply
   82,276x = 111,492 × 111,492
4. Step 4: Simplify right side
   82,276x = 12,430,466,064
5. Step 5: Solve for x
   x = 12,430,466,064/82,276
6. Step 6: Final answer
   x = 151,082.53