Finding the Third Proportional to 77,984.50 and 116,456.75

Step by Step Solution

1. Step 1: Write the proportion equation
   77,984.50 : 116,456.75 = 116,456.75 : x
2. Step 2: Convert to fraction form
   77,984.50/116,456.75 = 116,456.75/x
3. Step 3: Cross multiply
   77,984.50x = 116,456.75 × 116,456.75
4. Step 4: Simplify right side
   77,984.50x = 13,562,174,620.56
5. Step 5: Solve for x
   x = 13,562,174,620.56/77,984.50
6. Step 6: Final answer
   x = 173,908.59