Finding the Third Proportional to 74,943 and 111,279

Step by Step Solution

1. Step 1: Write the proportion equation
   74,943 : 111,279 = 111,279 : x
2. Step 2: Convert to fraction form
   74,943/111,279 = 111,279/x
3. Step 3: Cross multiply
   74,943x = 111,279 × 111,279
4. Step 4: Simplify right side
   74,943x = 12,383,015,841
5. Step 5: Solve for x
   x = 12,383,015,841/74,943
6. Step 6: Final answer
   x = 165,232.45