Finding the Third Proportional to 219,316 and 469,768

Step by Step Solution

1. Step 1: Write the proportion equation
   219,316 : 469,768 = 469,768 : x
2. Step 2: Convert to fraction form
   219,316/469,768 = 469,768/x
3. Step 3: Cross multiply
   219,316x = 469,768 × 469,768
4. Step 4: Simplify right side
   219,316x = 220,681,973,824
5. Step 5: Solve for x
   x = 220,681,973,824/219,316
6. Step 6: Final answer
   x = 1,006,228.34