Finding the Third Proportional to 77,864 and 114,028

Step by Step Solution

1. Step 1: Write the proportion equation
   77,864 : 114,028 = 114,028 : x
2. Step 2: Convert to fraction form
   77,864/114,028 = 114,028/x
3. Step 3: Cross multiply
   77,864x = 114,028 × 114,028
4. Step 4: Simplify right side
   77,864x = 13,002,384,784
5. Step 5: Solve for x
   x = 13,002,384,784/77,864
6. Step 6: Final answer
   x = 166,988.40