Finding the Third Proportional to 42,726 and 93,496

Step by Step Solution

1. Step 1: Write the proportion equation
   42,726 : 93,496 = 93,496 : x
2. Step 2: Convert to fraction form
   42,726/93,496 = 93,496/x
3. Step 3: Cross multiply
   42,726x = 93,496 × 93,496
4. Step 4: Simplify right side
   42,726x = 8,741,502,016
5. Step 5: Solve for x
   x = 8,741,502,016/42,726
6. Step 6: Final answer
   x = 204,594.44