Finding the Third Proportional to 109,739 and 147,112

Step by Step Solution

1. Step 1: Write the proportion equation
   109,739 : 147,112 = 147,112 : x
2. Step 2: Convert to fraction form
   109,739/147,112 = 147,112/x
3. Step 3: Cross multiply
   109,739x = 147,112 × 147,112
4. Step 4: Simplify right side
   109,739x = 21,641,940,544
5. Step 5: Solve for x
   x = 21,641,940,544/109,739
6. Step 6: Final answer
   x = 197,212.85