Finding the Third Proportional to 102,238 and 156,930

Step by Step Solution

1. Step 1: Write the proportion equation
   102,238 : 156,930 = 156,930 : x
2. Step 2: Convert to fraction form
   102,238/156,930 = 156,930/x
3. Step 3: Cross multiply
   102,238x = 156,930 × 156,930
4. Step 4: Simplify right side
   102,238x = 24,627,024,900
5. Step 5: Solve for x
   x = 24,627,024,900/102,238
6. Step 6: Final answer
   x = 240,879.37