Finding the Third Proportional to 138,550 and 210,012

Step by Step Solution

1. Step 1: Write the proportion equation
   138,550 : 210,012 = 210,012 : x
2. Step 2: Convert to fraction form
   138,550/210,012 = 210,012/x
3. Step 3: Cross multiply
   138,550x = 210,012 × 210,012
4. Step 4: Simplify right side
   138,550x = 44,105,040,144
5. Step 5: Solve for x
   x = 44,105,040,144/138,550
6. Step 6: Final answer
   x = 318,333.02