Finding the Third Proportional to 105,924 and 155,134

Step by Step Solution

1. Step 1: Write the proportion equation
   105,924 : 155,134 = 155,134 : x
2. Step 2: Convert to fraction form
   105,924/155,134 = 155,134/x
3. Step 3: Cross multiply
   105,924x = 155,134 × 155,134
4. Step 4: Simplify right side
   105,924x = 24,066,557,956
5. Step 5: Solve for x
   x = 24,066,557,956/105,924
6. Step 6: Final answer
   x = 227,205.90