Finding the Third Proportional to 138,150 and 206,372.25

Step by Step Solution

1. Step 1: Write the proportion equation
   138,150 : 206,372.25 = 206,372.25 : x
2. Step 2: Convert to fraction form
   138,150/206,372.25 = 206,372.25/x
3. Step 3: Cross multiply
   138,150x = 206,372.25 × 206,372.25
4. Step 4: Simplify right side
   138,150x = 42,589,505,570.06
5. Step 5: Solve for x
   x = 42,589,505,570.06/138,150
6. Step 6: Final answer
   x = 308,284.51