Finding the Third Proportional to 149,538 and 222,145.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,538 : 222,145.50 = 222,145.50 : x
2. Step 2: Convert to fraction form
   149,538/222,145.50 = 222,145.50/x
3. Step 3: Cross multiply
   149,538x = 222,145.50 × 222,145.50
4. Step 4: Simplify right side
   149,538x = 49,348,623,170.25
5. Step 5: Solve for x
   x = 49,348,623,170.25/149,538
6. Step 6: Final answer
   x = 330,007.24