Finding the Third Proportional to 50,151 and 76,214

Step by Step Solution

1. Step 1: Write the proportion equation
   50,151 : 76,214 = 76,214 : x
2. Step 2: Convert to fraction form
   50,151/76,214 = 76,214/x
3. Step 3: Cross multiply
   50,151x = 76,214 × 76,214
4. Step 4: Simplify right side
   50,151x = 5,808,573,796
5. Step 5: Solve for x
   x = 5,808,573,796/50,151
6. Step 6: Final answer
   x = 115,821.69