Finding the Third Proportional to 224,808 and 470,398.50

Step by Step Solution

1. Step 1: Write the proportion equation
   224,808 : 470,398.50 = 470,398.50 : x
2. Step 2: Convert to fraction form
   224,808/470,398.50 = 470,398.50/x
3. Step 3: Cross multiply
   224,808x = 470,398.50 × 470,398.50
4. Step 4: Simplify right side
   224,808x = 221,274,748,802.25
5. Step 5: Solve for x
   x = 221,274,748,802.25/224,808
6. Step 6: Final answer
   x = 984,283.25