Finding the Third Proportional to 100,978 and 156,802

Step by Step Solution

1. Step 1: Write the proportion equation
   100,978 : 156,802 = 156,802 : x
2. Step 2: Convert to fraction form
   100,978/156,802 = 156,802/x
3. Step 3: Cross multiply
   100,978x = 156,802 × 156,802
4. Step 4: Simplify right side
   100,978x = 24,586,867,204
5. Step 5: Solve for x
   x = 24,586,867,204/100,978
6. Step 6: Final answer
   x = 243,487.37