Finding the Third Proportional to 105,078 and 157,245

Step by Step Solution

1. Step 1: Write the proportion equation
   105,078 : 157,245 = 157,245 : x
2. Step 2: Convert to fraction form
   105,078/157,245 = 157,245/x
3. Step 3: Cross multiply
   105,078x = 157,245 × 157,245
4. Step 4: Simplify right side
   105,078x = 24,725,990,025
5. Step 5: Solve for x
   x = 24,725,990,025/105,078
6. Step 6: Final answer
   x = 235,310.82