Finding the Third Proportional to 77,818 and 173,780

Step by Step Solution

1. Step 1: Write the proportion equation
   77,818 : 173,780 = 173,780 : x
2. Step 2: Convert to fraction form
   77,818/173,780 = 173,780/x
3. Step 3: Cross multiply
   77,818x = 173,780 × 173,780
4. Step 4: Simplify right side
   77,818x = 30,199,488,400
5. Step 5: Solve for x
   x = 30,199,488,400/77,818
6. Step 6: Final answer
   x = 388,078.44