Finding the Third Proportional to 103,852 and 148,510

Step by Step Solution

1. Step 1: Write the proportion equation
   103,852 : 148,510 = 148,510 : x
2. Step 2: Convert to fraction form
   103,852/148,510 = 148,510/x
3. Step 3: Cross multiply
   103,852x = 148,510 × 148,510
4. Step 4: Simplify right side
   103,852x = 22,055,220,100
5. Step 5: Solve for x
   x = 22,055,220,100/103,852
6. Step 6: Final answer
   x = 212,371.65