Finding the Third Proportional to 77,708 and 116,083

Step by Step Solution

1. Step 1: Write the proportion equation
   77,708 : 116,083 = 116,083 : x
2. Step 2: Convert to fraction form
   77,708/116,083 = 116,083/x
3. Step 3: Cross multiply
   77,708x = 116,083 × 116,083
4. Step 4: Simplify right side
   77,708x = 13,475,262,889
5. Step 5: Solve for x
   x = 13,475,262,889/77,708
6. Step 6: Final answer
   x = 173,408.95