Finding the Third Proportional to 201,828 and 316,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,828 : 316,633.50 = 316,633.50 : x
2. Step 2: Convert to fraction form
   201,828/316,633.50 = 316,633.50/x
3. Step 3: Cross multiply
   201,828x = 316,633.50 × 316,633.50
4. Step 4: Simplify right side
   201,828x = 100,256,773,322.25
5. Step 5: Solve for x
   x = 100,256,773,322.25/201,828
6. Step 6: Final answer
   x = 496,743.63