Finding the Third Proportional to 126,642 and 200,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,642 : 200,533.50 = 200,533.50 : x
2. Step 2: Convert to fraction form
   126,642/200,533.50 = 200,533.50/x
3. Step 3: Cross multiply
   126,642x = 200,533.50 × 200,533.50
4. Step 4: Simplify right side
   126,642x = 40,213,684,622.25
5. Step 5: Solve for x
   x = 40,213,684,622.25/126,642
6. Step 6: Final answer
   x = 317,538.29