Finding the Third Proportional to 140,184 and 315,468

Step by Step Solution

1. Step 1: Write the proportion equation
   140,184 : 315,468 = 315,468 : x
2. Step 2: Convert to fraction form
   140,184/315,468 = 315,468/x
3. Step 3: Cross multiply
   140,184x = 315,468 × 315,468
4. Step 4: Simplify right side
   140,184x = 99,520,059,024
5. Step 5: Solve for x
   x = 99,520,059,024/140,184
6. Step 6: Final answer
   x = 709,924.52