Finding the Third Proportional to 51,850 and 114,068

Step by Step Solution

1. Step 1: Write the proportion equation
   51,850 : 114,068 = 114,068 : x
2. Step 2: Convert to fraction form
   51,850/114,068 = 114,068/x
3. Step 3: Cross multiply
   51,850x = 114,068 × 114,068
4. Step 4: Simplify right side
   51,850x = 13,011,508,624
5. Step 5: Solve for x
   x = 13,011,508,624/51,850
6. Step 6: Final answer
   x = 250,945.20