Finding the Third Proportional to 42,448 and 92,564

Step by Step Solution

1. Step 1: Write the proportion equation
   42,448 : 92,564 = 92,564 : x
2. Step 2: Convert to fraction form
   42,448/92,564 = 92,564/x
3. Step 3: Cross multiply
   42,448x = 92,564 × 92,564
4. Step 4: Simplify right side
   42,448x = 8,568,094,096
5. Step 5: Solve for x
   x = 8,568,094,096/42,448
6. Step 6: Final answer
   x = 201,849.18