Finding the Third Proportional to 101,182 and 148,492

Step by Step Solution

1. Step 1: Write the proportion equation
   101,182 : 148,492 = 148,492 : x
2. Step 2: Convert to fraction form
   101,182/148,492 = 148,492/x
3. Step 3: Cross multiply
   101,182x = 148,492 × 148,492
4. Step 4: Simplify right side
   101,182x = 22,049,874,064
5. Step 5: Solve for x
   x = 22,049,874,064/101,182
6. Step 6: Final answer
   x = 217,922.89