Finding the Third Proportional to 42,174 and 91,233

Step by Step Solution

1. Step 1: Write the proportion equation
   42,174 : 91,233 = 91,233 : x
2. Step 2: Convert to fraction form
   42,174/91,233 = 91,233/x
3. Step 3: Cross multiply
   42,174x = 91,233 × 91,233
4. Step 4: Simplify right side
   42,174x = 8,323,460,289
5. Step 5: Solve for x
   x = 8,323,460,289/42,174
6. Step 6: Final answer
   x = 197,359.99