Finding the Third Proportional to 146,711 and 309,184

Step by Step Solution

1. Step 1: Write the proportion equation
   146,711 : 309,184 = 309,184 : x
2. Step 2: Convert to fraction form
   146,711/309,184 = 309,184/x
3. Step 3: Cross multiply
   146,711x = 309,184 × 309,184
4. Step 4: Simplify right side
   146,711x = 95,594,745,856
5. Step 5: Solve for x
   x = 95,594,745,856/146,711
6. Step 6: Final answer
   x = 651,585.40