Finding the Third Proportional to 59,405 and 78,523

Step by Step Solution

1. Step 1: Write the proportion equation
   59,405 : 78,523 = 78,523 : x
2. Step 2: Convert to fraction form
   59,405/78,523 = 78,523/x
3. Step 3: Cross multiply
   59,405x = 78,523 × 78,523
4. Step 4: Simplify right side
   59,405x = 6,165,861,529
5. Step 5: Solve for x
   x = 6,165,861,529/59,405
6. Step 6: Final answer
   x = 103,793.65