Finding the Third Proportional to 105,034.50 and 157,185

Step by Step Solution

1. Step 1: Write the proportion equation
   105,034.50 : 157,185 = 157,185 : x
2. Step 2: Convert to fraction form
   105,034.50/157,185 = 157,185/x
3. Step 3: Cross multiply
   105,034.50x = 157,185 × 157,185
4. Step 4: Simplify right side
   105,034.50x = 24,707,124,225
5. Step 5: Solve for x
   x = 24,707,124,225/105,034.50
6. Step 6: Final answer
   x = 235,228.66