Finding the Third Proportional to 77,800 and 116,684

Step by Step Solution

1. Step 1: Write the proportion equation
   77,800 : 116,684 = 116,684 : x
2. Step 2: Convert to fraction form
   77,800/116,684 = 116,684/x
3. Step 3: Cross multiply
   77,800x = 116,684 × 116,684
4. Step 4: Simplify right side
   77,800x = 13,615,155,856
5. Step 5: Solve for x
   x = 13,615,155,856/77,800
6. Step 6: Final answer
   x = 175,002.00