Finding the Third Proportional to 42,204 and 92,250

Step by Step Solution

1. Step 1: Write the proportion equation
   42,204 : 92,250 = 92,250 : x
2. Step 2: Convert to fraction form
   42,204/92,250 = 92,250/x
3. Step 3: Cross multiply
   42,204x = 92,250 × 92,250
4. Step 4: Simplify right side
   42,204x = 8,510,062,500
5. Step 5: Solve for x
   x = 8,510,062,500/42,204
6. Step 6: Final answer
   x = 201,641.14