Finding the Third Proportional to 76,920.50 and 116,824.75

Step by Step Solution

1. Step 1: Write the proportion equation
   76,920.50 : 116,824.75 = 116,824.75 : x
2. Step 2: Convert to fraction form
   76,920.50/116,824.75 = 116,824.75/x
3. Step 3: Cross multiply
   76,920.50x = 116,824.75 × 116,824.75
4. Step 4: Simplify right side
   76,920.50x = 13,648,022,212.56
5. Step 5: Solve for x
   x = 13,648,022,212.56/76,920.50
6. Step 6: Final answer
   x = 177,430.23