Finding the Third Proportional to 109,720 and 147,084

Step by Step Solution

1. Step 1: Write the proportion equation
   109,720 : 147,084 = 147,084 : x
2. Step 2: Convert to fraction form
   109,720/147,084 = 147,084/x
3. Step 3: Cross multiply
   109,720x = 147,084 × 147,084
4. Step 4: Simplify right side
   109,720x = 21,633,703,056
5. Step 5: Solve for x
   x = 21,633,703,056/109,720
6. Step 6: Final answer
   x = 197,171.92