Finding the Third Proportional to 67,184 and 146,032

Step by Step Solution

1. Step 1: Write the proportion equation
   67,184 : 146,032 = 146,032 : x
2. Step 2: Convert to fraction form
   67,184/146,032 = 146,032/x
3. Step 3: Cross multiply
   67,184x = 146,032 × 146,032
4. Step 4: Simplify right side
   67,184x = 21,325,345,024
5. Step 5: Solve for x
   x = 21,325,345,024/67,184
6. Step 6: Final answer
   x = 317,417.02