Finding the Third Proportional to 222,800 and 345,156

Step by Step Solution

1. Step 1: Write the proportion equation
   222,800 : 345,156 = 345,156 : x
2. Step 2: Convert to fraction form
   222,800/345,156 = 345,156/x
3. Step 3: Cross multiply
   222,800x = 345,156 × 345,156
4. Step 4: Simplify right side
   222,800x = 119,132,664,336
5. Step 5: Solve for x
   x = 119,132,664,336/222,800
6. Step 6: Final answer
   x = 534,706.75