Finding the Third Proportional to 77,826 and 151,764

Step by Step Solution

1. Step 1: Write the proportion equation
   77,826 : 151,764 = 151,764 : x
2. Step 2: Convert to fraction form
   77,826/151,764 = 151,764/x
3. Step 3: Cross multiply
   77,826x = 151,764 × 151,764
4. Step 4: Simplify right side
   77,826x = 23,032,311,696
5. Step 5: Solve for x
   x = 23,032,311,696/77,826
6. Step 6: Final answer
   x = 295,946.24