Finding the Third Proportional to 77,782 and 171,116

Step by Step Solution

1. Step 1: Write the proportion equation
   77,782 : 171,116 = 171,116 : x
2. Step 2: Convert to fraction form
   77,782/171,116 = 171,116/x
3. Step 3: Cross multiply
   77,782x = 171,116 × 171,116
4. Step 4: Simplify right side
   77,782x = 29,280,685,456
5. Step 5: Solve for x
   x = 29,280,685,456/77,782
6. Step 6: Final answer
   x = 376,445.52