Finding the Third Proportional to 142,770 and 222,060

Step by Step Solution

1. Step 1: Write the proportion equation
   142,770 : 222,060 = 222,060 : x
2. Step 2: Convert to fraction form
   142,770/222,060 = 222,060/x
3. Step 3: Cross multiply
   142,770x = 222,060 × 222,060
4. Step 4: Simplify right side
   142,770x = 49,310,643,600
5. Step 5: Solve for x
   x = 49,310,643,600/142,770
6. Step 6: Final answer
   x = 345,385.19