Finding the Third Proportional to 208,174 and 491,258

Step by Step Solution

1. Step 1: Write the proportion equation
   208,174 : 491,258 = 491,258 : x
2. Step 2: Convert to fraction form
   208,174/491,258 = 491,258/x
3. Step 3: Cross multiply
   208,174x = 491,258 × 491,258
4. Step 4: Simplify right side
   208,174x = 241,334,422,564
5. Step 5: Solve for x
   x = 241,334,422,564/208,174
6. Step 6: Final answer
   x = 1,159,291.85