Finding the Third Proportional to 76,887 and 117,535.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,887 : 117,535.50 = 117,535.50 : x
2. Step 2: Convert to fraction form
   76,887/117,535.50 = 117,535.50/x
3. Step 3: Cross multiply
   76,887x = 117,535.50 × 117,535.50
4. Step 4: Simplify right side
   76,887x = 13,814,593,760.25
5. Step 5: Solve for x
   x = 13,814,593,760.25/76,887
6. Step 6: Final answer
   x = 179,673.99