Finding the Third Proportional to 105,924 and 148,452

Step by Step Solution

1. Step 1: Write the proportion equation
   105,924 : 148,452 = 148,452 : x
2. Step 2: Convert to fraction form
   105,924/148,452 = 148,452/x
3. Step 3: Cross multiply
   105,924x = 148,452 × 148,452
4. Step 4: Simplify right side
   105,924x = 22,037,996,304
5. Step 5: Solve for x
   x = 22,037,996,304/105,924
6. Step 6: Final answer
   x = 208,054.80