Finding the Third Proportional to 100,905.75 and 156,142.69

Step by Step Solution

1. Step 1: Write the proportion equation
   100,905.75 : 156,142.69 = 156,142.69 : x
2. Step 2: Convert to fraction form
   100,905.75/156,142.69 = 156,142.69/x
3. Step 3: Cross multiply
   100,905.75x = 156,142.69 × 156,142.69
4. Step 4: Simplify right side
   100,905.75x = 24,380,538,859.72
5. Step 5: Solve for x
   x = 24,380,538,859.72/100,905.75
6. Step 6: Final answer
   x = 241,616.94