Finding the Third Proportional to 77,683 and 116,484

Step by Step Solution

1. Step 1: Write the proportion equation
   77,683 : 116,484 = 116,484 : x
2. Step 2: Convert to fraction form
   77,683/116,484 = 116,484/x
3. Step 3: Cross multiply
   77,683x = 116,484 × 116,484
4. Step 4: Simplify right side
   77,683x = 13,568,522,256
5. Step 5: Solve for x
   x = 13,568,522,256/77,683
6. Step 6: Final answer
   x = 174,665.27