Finding the Third Proportional to 49,407 and 76,423.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,407 : 76,423.50 = 76,423.50 : x
2. Step 2: Convert to fraction form
   49,407/76,423.50 = 76,423.50/x
3. Step 3: Cross multiply
   49,407x = 76,423.50 × 76,423.50
4. Step 4: Simplify right side
   49,407x = 5,840,551,352.25
5. Step 5: Solve for x
   x = 5,840,551,352.25/49,407
6. Step 6: Final answer
   x = 118,213.03