Finding the Third Proportional to 74,937 and 111,270

Step by Step Solution

1. Step 1: Write the proportion equation
   74,937 : 111,270 = 111,270 : x
2. Step 2: Convert to fraction form
   74,937/111,270 = 111,270/x
3. Step 3: Cross multiply
   74,937x = 111,270 × 111,270
4. Step 4: Simplify right side
   74,937x = 12,381,012,900
5. Step 5: Solve for x
   x = 12,381,012,900/74,937
6. Step 6: Final answer
   x = 165,218.96