Finding the Third Proportional to 75,656 and 109,919.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,656 : 109,919.50 = 109,919.50 : x
2. Step 2: Convert to fraction form
   75,656/109,919.50 = 109,919.50/x
3. Step 3: Cross multiply
   75,656x = 109,919.50 × 109,919.50
4. Step 4: Simplify right side
   75,656x = 12,082,296,480.25
5. Step 5: Solve for x
   x = 12,082,296,480.25/75,656
6. Step 6: Final answer
   x = 159,700.44