Finding the Third Proportional to 76,580 and 111,900

Step by Step Solution

1. Step 1: Write the proportion equation
   76,580 : 111,900 = 111,900 : x
2. Step 2: Convert to fraction form
   76,580/111,900 = 111,900/x
3. Step 3: Cross multiply
   76,580x = 111,900 × 111,900
4. Step 4: Simplify right side
   76,580x = 12,521,610,000
5. Step 5: Solve for x
   x = 12,521,610,000/76,580
6. Step 6: Final answer
   x = 163,510.19