Finding the Third Proportional to 49,711 and 75,290

Step by Step Solution

1. Step 1: Write the proportion equation
   49,711 : 75,290 = 75,290 : x
2. Step 2: Convert to fraction form
   49,711/75,290 = 75,290/x
3. Step 3: Cross multiply
   49,711x = 75,290 × 75,290
4. Step 4: Simplify right side
   49,711x = 5,668,584,100
5. Step 5: Solve for x
   x = 5,668,584,100/49,711
6. Step 6: Final answer
   x = 114,030.78