Finding the Third Proportional to 74,772 and 111,510

Step by Step Solution

1. Step 1: Write the proportion equation
   74,772 : 111,510 = 111,510 : x
2. Step 2: Convert to fraction form
   74,772/111,510 = 111,510/x
3. Step 3: Cross multiply
   74,772x = 111,510 × 111,510
4. Step 4: Simplify right side
   74,772x = 12,434,480,100
5. Step 5: Solve for x
   x = 12,434,480,100/74,772
6. Step 6: Final answer
   x = 166,298.62