Finding the Third Proportional to 219,024 and 469,152

Step by Step Solution

1. Step 1: Write the proportion equation
   219,024 : 469,152 = 469,152 : x
2. Step 2: Convert to fraction form
   219,024/469,152 = 469,152/x
3. Step 3: Cross multiply
   219,024x = 469,152 × 469,152
4. Step 4: Simplify right side
   219,024x = 220,103,599,104
5. Step 5: Solve for x
   x = 220,103,599,104/219,024
6. Step 6: Final answer
   x = 1,004,929.14