Finding the Third Proportional to 106,451 and 148,010

Step by Step Solution

1. Step 1: Write the proportion equation
   106,451 : 148,010 = 148,010 : x
2. Step 2: Convert to fraction form
   106,451/148,010 = 148,010/x
3. Step 3: Cross multiply
   106,451x = 148,010 × 148,010
4. Step 4: Simplify right side
   106,451x = 21,906,960,100
5. Step 5: Solve for x
   x = 21,906,960,100/106,451
6. Step 6: Final answer
   x = 205,793.84