Finding the Third Proportional to 103,774.50 and 158,670

Step by Step Solution

1. Step 1: Write the proportion equation
   103,774.50 : 158,670 = 158,670 : x
2. Step 2: Convert to fraction form
   103,774.50/158,670 = 158,670/x
3. Step 3: Cross multiply
   103,774.50x = 158,670 × 158,670
4. Step 4: Simplify right side
   103,774.50x = 25,176,168,900
5. Step 5: Solve for x
   x = 25,176,168,900/103,774.50
6. Step 6: Final answer
   x = 242,604.58