Finding the Third Proportional to 209,376 and 460,224

Step by Step Solution

1. Step 1: Write the proportion equation
   209,376 : 460,224 = 460,224 : x
2. Step 2: Convert to fraction form
   209,376/460,224 = 460,224/x
3. Step 3: Cross multiply
   209,376x = 460,224 × 460,224
4. Step 4: Simplify right side
   209,376x = 211,806,130,176
5. Step 5: Solve for x
   x = 211,806,130,176/209,376
6. Step 6: Final answer
   x = 1,011,606.54