Finding the Third Proportional to 77,478 and 117,760.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,478 : 117,760.50 = 117,760.50 : x
2. Step 2: Convert to fraction form
   77,478/117,760.50 = 117,760.50/x
3. Step 3: Cross multiply
   77,478x = 117,760.50 × 117,760.50
4. Step 4: Simplify right side
   77,478x = 13,867,535,360.25
5. Step 5: Solve for x
   x = 13,867,535,360.25/77,478
6. Step 6: Final answer
   x = 178,986.75