Finding the Third Proportional to 224,210 and 492,106

Step by Step Solution

1. Step 1: Write the proportion equation
   224,210 : 492,106 = 492,106 : x
2. Step 2: Convert to fraction form
   224,210/492,106 = 492,106/x
3. Step 3: Cross multiply
   224,210x = 492,106 × 492,106
4. Step 4: Simplify right side
   224,210x = 242,168,315,236
5. Step 5: Solve for x
   x = 242,168,315,236/224,210
6. Step 6: Final answer
   x = 1,080,095.96