Finding the Third Proportional to 142,184 and 216,346

Step by Step Solution

1. Step 1: Write the proportion equation
   142,184 : 216,346 = 216,346 : x
2. Step 2: Convert to fraction form
   142,184/216,346 = 216,346/x
3. Step 3: Cross multiply
   142,184x = 216,346 × 216,346
4. Step 4: Simplify right side
   142,184x = 46,805,591,716
5. Step 5: Solve for x
   x = 46,805,591,716/142,184
6. Step 6: Final answer
   x = 329,190.29