Finding the Third Proportional to 42,780 and 92,688

Step by Step Solution

1. Step 1: Write the proportion equation
   42,780 : 92,688 = 92,688 : x
2. Step 2: Convert to fraction form
   42,780/92,688 = 92,688/x
3. Step 3: Cross multiply
   42,780x = 92,688 × 92,688
4. Step 4: Simplify right side
   42,780x = 8,591,065,344
5. Step 5: Solve for x
   x = 8,591,065,344/42,780
6. Step 6: Final answer
   x = 200,819.67