Finding the Third Proportional to 77,830 and 116,745.75

Step by Step Solution

1. Step 1: Write the proportion equation
   77,830 : 116,745.75 = 116,745.75 : x
2. Step 2: Convert to fraction form
   77,830/116,745.75 = 116,745.75/x
3. Step 3: Cross multiply
   77,830x = 116,745.75 × 116,745.75
4. Step 4: Simplify right side
   77,830x = 13,629,570,143.06
5. Step 5: Solve for x
   x = 13,629,570,143.06/77,830
6. Step 6: Final answer
   x = 175,119.75