Finding the Third Proportional to 109,084 and 146,588

Step by Step Solution

1. Step 1: Write the proportion equation
   109,084 : 146,588 = 146,588 : x
2. Step 2: Convert to fraction form
   109,084/146,588 = 146,588/x
3. Step 3: Cross multiply
   109,084x = 146,588 × 146,588
4. Step 4: Simplify right side
   109,084x = 21,488,041,744
5. Step 5: Solve for x
   x = 21,488,041,744/109,084
6. Step 6: Final answer
   x = 196,986.19