Finding the Third Proportional to 42,804 and 92,196

Step by Step Solution

1. Step 1: Write the proportion equation
   42,804 : 92,196 = 92,196 : x
2. Step 2: Convert to fraction form
   42,804/92,196 = 92,196/x
3. Step 3: Cross multiply
   42,804x = 92,196 × 92,196
4. Step 4: Simplify right side
   42,804x = 8,500,102,416
5. Step 5: Solve for x
   x = 8,500,102,416/42,804
6. Step 6: Final answer
   x = 198,581.96