Finding the Third Proportional to 147,764 and 315,184

Step by Step Solution

1. Step 1: Write the proportion equation
   147,764 : 315,184 = 315,184 : x
2. Step 2: Convert to fraction form
   147,764/315,184 = 315,184/x
3. Step 3: Cross multiply
   147,764x = 315,184 × 315,184
4. Step 4: Simplify right side
   147,764x = 99,340,953,856
5. Step 5: Solve for x
   x = 99,340,953,856/147,764
6. Step 6: Final answer
   x = 672,294.70