Finding the Third Proportional to 396,174 and 596,158

Step by Step Solution

1. Step 1: Write the proportion equation
   396,174 : 596,158 = 596,158 : x
2. Step 2: Convert to fraction form
   396,174/596,158 = 596,158/x
3. Step 3: Cross multiply
   396,174x = 596,158 × 596,158
4. Step 4: Simplify right side
   396,174x = 355,404,360,964
5. Step 5: Solve for x
   x = 355,404,360,964/396,174
6. Step 6: Final answer
   x = 897,091.58