Finding the Third Proportional to 102,352 and 156,016

Step by Step Solution

1. Step 1: Write the proportion equation
   102,352 : 156,016 = 156,016 : x
2. Step 2: Convert to fraction form
   102,352/156,016 = 156,016/x
3. Step 3: Cross multiply
   102,352x = 156,016 × 156,016
4. Step 4: Simplify right side
   102,352x = 24,340,992,256
5. Step 5: Solve for x
   x = 24,340,992,256/102,352
6. Step 6: Final answer
   x = 237,816.48