Finding the Third Proportional to 76,995 and 178,879.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,995 : 178,879.50 = 178,879.50 : x
2. Step 2: Convert to fraction form
   76,995/178,879.50 = 178,879.50/x
3. Step 3: Cross multiply
   76,995x = 178,879.50 × 178,879.50
4. Step 4: Simplify right side
   76,995x = 31,997,875,520.25
5. Step 5: Solve for x
   x = 31,997,875,520.25/76,995
6. Step 6: Final answer
   x = 415,583.81