Finding the Third Proportional to 42,257 and 91,813

Step by Step Solution

1. Step 1: Write the proportion equation
   42,257 : 91,813 = 91,813 : x
2. Step 2: Convert to fraction form
   42,257/91,813 = 91,813/x
3. Step 3: Cross multiply
   42,257x = 91,813 × 91,813
4. Step 4: Simplify right side
   42,257x = 8,429,626,969
5. Step 5: Solve for x
   x = 8,429,626,969/42,257
6. Step 6: Final answer
   x = 199,484.75