Finding the Third Proportional to 76,309.50 and 116,741.25

Step by Step Solution

1. Step 1: Write the proportion equation
   76,309.50 : 116,741.25 = 116,741.25 : x
2. Step 2: Convert to fraction form
   76,309.50/116,741.25 = 116,741.25/x
3. Step 3: Cross multiply
   76,309.50x = 116,741.25 × 116,741.25
4. Step 4: Simplify right side
   76,309.50x = 13,628,519,451.56
5. Step 5: Solve for x
   x = 13,628,519,451.56/76,309.50
6. Step 6: Final answer
   x = 178,595.32