Finding the Third Proportional to 216,942 and 467,224

Step by Step Solution

1. Step 1: Write the proportion equation
   216,942 : 467,224 = 467,224 : x
2. Step 2: Convert to fraction form
   216,942/467,224 = 467,224/x
3. Step 3: Cross multiply
   216,942x = 467,224 × 467,224
4. Step 4: Simplify right side
   216,942x = 218,298,266,176
5. Step 5: Solve for x
   x = 218,298,266,176/216,942
6. Step 6: Final answer
   x = 1,006,251.75