Finding the Third Proportional to 42,238 and 91,778

Step by Step Solution

1. Step 1: Write the proportion equation
   42,238 : 91,778 = 91,778 : x
2. Step 2: Convert to fraction form
   42,238/91,778 = 91,778/x
3. Step 3: Cross multiply
   42,238x = 91,778 × 91,778
4. Step 4: Simplify right side
   42,238x = 8,423,201,284
5. Step 5: Solve for x
   x = 8,423,201,284/42,238
6. Step 6: Final answer
   x = 199,422.35