Finding the Third Proportional to 105,033 and 157,182

Step by Step Solution

1. Step 1: Write the proportion equation
   105,033 : 157,182 = 157,182 : x
2. Step 2: Convert to fraction form
   105,033/157,182 = 157,182/x
3. Step 3: Cross multiply
   105,033x = 157,182 × 157,182
4. Step 4: Simplify right side
   105,033x = 24,706,181,124
5. Step 5: Solve for x
   x = 24,706,181,124/105,033
6. Step 6: Final answer
   x = 235,223.04