Finding the Third Proportional to 100,801 and 156,782

Step by Step Solution

1. Step 1: Write the proportion equation
   100,801 : 156,782 = 156,782 : x
2. Step 2: Convert to fraction form
   100,801/156,782 = 156,782/x
3. Step 3: Cross multiply
   100,801x = 156,782 × 156,782
4. Step 4: Simplify right side
   100,801x = 24,580,595,524
5. Step 5: Solve for x
   x = 24,580,595,524/100,801
6. Step 6: Final answer
   x = 243,852.70