Finding the Third Proportional to 36,626 and 78,436

Step by Step Solution

1. Step 1: Write the proportion equation
   36,626 : 78,436 = 78,436 : x
2. Step 2: Convert to fraction form
   36,626/78,436 = 78,436/x
3. Step 3: Cross multiply
   36,626x = 78,436 × 78,436
4. Step 4: Simplify right side
   36,626x = 6,152,206,096
5. Step 5: Solve for x
   x = 6,152,206,096/36,626
6. Step 6: Final answer
   x = 167,973.74