Finding the Third Proportional to 95,664 and 209,490

Step by Step Solution

1. Step 1: Write the proportion equation
   95,664 : 209,490 = 209,490 : x
2. Step 2: Convert to fraction form
   95,664/209,490 = 209,490/x
3. Step 3: Cross multiply
   95,664x = 209,490 × 209,490
4. Step 4: Simplify right side
   95,664x = 43,886,060,100
5. Step 5: Solve for x
   x = 43,886,060,100/95,664
6. Step 6: Final answer
   x = 458,752.09