Finding the Third Proportional to 105,903 and 148,466

Step by Step Solution

1. Step 1: Write the proportion equation
   105,903 : 148,466 = 148,466 : x
2. Step 2: Convert to fraction form
   105,903/148,466 = 148,466/x
3. Step 3: Cross multiply
   105,903x = 148,466 × 148,466
4. Step 4: Simplify right side
   105,903x = 22,042,153,156
5. Step 5: Solve for x
   x = 22,042,153,156/105,903
6. Step 6: Final answer
   x = 208,135.30