Finding the Third Proportional to 76,356 and 111,510

Step by Step Solution

1. Step 1: Write the proportion equation
   76,356 : 111,510 = 111,510 : x
2. Step 2: Convert to fraction form
   76,356/111,510 = 111,510/x
3. Step 3: Cross multiply
   76,356x = 111,510 × 111,510
4. Step 4: Simplify right side
   76,356x = 12,434,480,100
5. Step 5: Solve for x
   x = 12,434,480,100/76,356
6. Step 6: Final answer
   x = 162,848.76