Finding the Third Proportional to 142,938 and 222,567.75

Step by Step Solution

1. Step 1: Write the proportion equation
   142,938 : 222,567.75 = 222,567.75 : x
2. Step 2: Convert to fraction form
   142,938/222,567.75 = 222,567.75/x
3. Step 3: Cross multiply
   142,938x = 222,567.75 × 222,567.75
4. Step 4: Simplify right side
   142,938x = 49,536,403,340.06
5. Step 5: Solve for x
   x = 49,536,403,340.06/142,938
6. Step 6: Final answer
   x = 346,558.67