Finding the Third Proportional to 100,916 and 156,150

Step by Step Solution

1. Step 1: Write the proportion equation
   100,916 : 156,150 = 156,150 : x
2. Step 2: Convert to fraction form
   100,916/156,150 = 156,150/x
3. Step 3: Cross multiply
   100,916x = 156,150 × 156,150
4. Step 4: Simplify right side
   100,916x = 24,382,822,500
5. Step 5: Solve for x
   x = 24,382,822,500/100,916
6. Step 6: Final answer
   x = 241,615.03