Finding the Third Proportional to 109,210 and 146,851

Step by Step Solution

1. Step 1: Write the proportion equation
   109,210 : 146,851 = 146,851 : x
2. Step 2: Convert to fraction form
   109,210/146,851 = 146,851/x
3. Step 3: Cross multiply
   109,210x = 146,851 × 146,851
4. Step 4: Simplify right side
   109,210x = 21,565,216,201
5. Step 5: Solve for x
   x = 21,565,216,201/109,210
6. Step 6: Final answer
   x = 197,465.58