Finding the Third Proportional to 137,642 and 201,150

Step by Step Solution

1. Step 1: Write the proportion equation
   137,642 : 201,150 = 201,150 : x
2. Step 2: Convert to fraction form
   137,642/201,150 = 201,150/x
3. Step 3: Cross multiply
   137,642x = 201,150 × 201,150
4. Step 4: Simplify right side
   137,642x = 40,461,322,500
5. Step 5: Solve for x
   x = 40,461,322,500/137,642
6. Step 6: Final answer
   x = 293,960.58