Finding the Third Proportional to 82,432 and 111,968

Step by Step Solution

1. Step 1: Write the proportion equation
   82,432 : 111,968 = 111,968 : x
2. Step 2: Convert to fraction form
   82,432/111,968 = 111,968/x
3. Step 3: Cross multiply
   82,432x = 111,968 × 111,968
4. Step 4: Simplify right side
   82,432x = 12,536,833,024
5. Step 5: Solve for x
   x = 12,536,833,024/82,432
6. Step 6: Final answer
   x = 152,086.97