Finding the Third Proportional to 76,532 and 111,756

Step by Step Solution

1. Step 1: Write the proportion equation
   76,532 : 111,756 = 111,756 : x
2. Step 2: Convert to fraction form
   76,532/111,756 = 111,756/x
3. Step 3: Cross multiply
   76,532x = 111,756 × 111,756
4. Step 4: Simplify right side
   76,532x = 12,489,403,536
5. Step 5: Solve for x
   x = 12,489,403,536/76,532
6. Step 6: Final answer
   x = 163,191.91