Finding the Third Proportional to 173,216 and 385,780

Step by Step Solution

1. Step 1: Write the proportion equation
   173,216 : 385,780 = 385,780 : x
2. Step 2: Convert to fraction form
   173,216/385,780 = 385,780/x
3. Step 3: Cross multiply
   173,216x = 385,780 × 385,780
4. Step 4: Simplify right side
   173,216x = 148,826,208,400
5. Step 5: Solve for x
   x = 148,826,208,400/173,216
6. Step 6: Final answer
   x = 859,194.35