Finding the Third Proportional to 105,906 and 148,131

Step by Step Solution

1. Step 1: Write the proportion equation
   105,906 : 148,131 = 148,131 : x
2. Step 2: Convert to fraction form
   105,906/148,131 = 148,131/x
3. Step 3: Cross multiply
   105,906x = 148,131 × 148,131
4. Step 4: Simplify right side
   105,906x = 21,942,793,161
5. Step 5: Solve for x
   x = 21,942,793,161/105,906
6. Step 6: Final answer
   x = 207,191.22