Finding the Third Proportional to 50,526 and 76,423.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,526 : 76,423.50 = 76,423.50 : x
2. Step 2: Convert to fraction form
   50,526/76,423.50 = 76,423.50/x
3. Step 3: Cross multiply
   50,526x = 76,423.50 × 76,423.50
4. Step 4: Simplify right side
   50,526x = 5,840,551,352.25
5. Step 5: Solve for x
   x = 5,840,551,352.25/50,526
6. Step 6: Final answer
   x = 115,594.97