Finding the Third Proportional to 100,880 and 156,105

Step by Step Solution

1. Step 1: Write the proportion equation
   100,880 : 156,105 = 156,105 : x
2. Step 2: Convert to fraction form
   100,880/156,105 = 156,105/x
3. Step 3: Cross multiply
   100,880x = 156,105 × 156,105
4. Step 4: Simplify right side
   100,880x = 24,368,771,025
5. Step 5: Solve for x
   x = 24,368,771,025/100,880
6. Step 6: Final answer
   x = 241,561.96