Finding the Third Proportional to 42,426 and 92,233

Step by Step Solution

1. Step 1: Write the proportion equation
   42,426 : 92,233 = 92,233 : x
2. Step 2: Convert to fraction form
   42,426/92,233 = 92,233/x
3. Step 3: Cross multiply
   42,426x = 92,233 × 92,233
4. Step 4: Simplify right side
   42,426x = 8,506,926,289
5. Step 5: Solve for x
   x = 8,506,926,289/42,426
6. Step 6: Final answer
   x = 200,512.10