Finding the Third Proportional to 49,393 and 76,597

Step by Step Solution

1. Step 1: Write the proportion equation
   49,393 : 76,597 = 76,597 : x
2. Step 2: Convert to fraction form
   49,393/76,597 = 76,597/x
3. Step 3: Cross multiply
   49,393x = 76,597 × 76,597
4. Step 4: Simplify right side
   49,393x = 5,867,100,409
5. Step 5: Solve for x
   x = 5,867,100,409/49,393
6. Step 6: Final answer
   x = 118,784.05