Finding the Third Proportional to 137,830 and 222,045

Step by Step Solution

1. Step 1: Write the proportion equation
   137,830 : 222,045 = 222,045 : x
2. Step 2: Convert to fraction form
   137,830/222,045 = 222,045/x
3. Step 3: Cross multiply
   137,830x = 222,045 × 222,045
4. Step 4: Simplify right side
   137,830x = 49,303,982,025
5. Step 5: Solve for x
   x = 49,303,982,025/137,830
6. Step 6: Final answer
   x = 357,715.90