Finding the Third Proportional to 100,976 and 156,791.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,976 : 156,791.50 = 156,791.50 : x
2. Step 2: Convert to fraction form
   100,976/156,791.50 = 156,791.50/x
3. Step 3: Cross multiply
   100,976x = 156,791.50 × 156,791.50
4. Step 4: Simplify right side
   100,976x = 24,583,574,472.25
5. Step 5: Solve for x
   x = 24,583,574,472.25/100,976
6. Step 6: Final answer
   x = 243,459.58