Finding the Third Proportional to 64,156 and 100,782

Step by Step Solution

1. Step 1: Write the proportion equation
   64,156 : 100,782 = 100,782 : x
2. Step 2: Convert to fraction form
   64,156/100,782 = 100,782/x
3. Step 3: Cross multiply
   64,156x = 100,782 × 100,782
4. Step 4: Simplify right side
   64,156x = 10,157,011,524
5. Step 5: Solve for x
   x = 10,157,011,524/64,156
6. Step 6: Final answer
   x = 158,317.41