Finding the Third Proportional to 82,971 and 112,644

Step by Step Solution

1. Step 1: Write the proportion equation
   82,971 : 112,644 = 112,644 : x
2. Step 2: Convert to fraction form
   82,971/112,644 = 112,644/x
3. Step 3: Cross multiply
   82,971x = 112,644 × 112,644
4. Step 4: Simplify right side
   82,971x = 12,688,670,736
5. Step 5: Solve for x
   x = 12,688,670,736/82,971
6. Step 6: Final answer
   x = 152,928.98