Finding the Third Proportional to 77,814 and 173,772

Step by Step Solution

1. Step 1: Write the proportion equation
   77,814 : 173,772 = 173,772 : x
2. Step 2: Convert to fraction form
   77,814/173,772 = 173,772/x
3. Step 3: Cross multiply
   77,814x = 173,772 × 173,772
4. Step 4: Simplify right side
   77,814x = 30,196,707,984
5. Step 5: Solve for x
   x = 30,196,707,984/77,814
6. Step 6: Final answer
   x = 388,062.66