Finding the Third Proportional to 202,149 and 316,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   202,149 : 316,165.50 = 316,165.50 : x
2. Step 2: Convert to fraction form
   202,149/316,165.50 = 316,165.50/x
3. Step 3: Cross multiply
   202,149x = 316,165.50 × 316,165.50
4. Step 4: Simplify right side
   202,149x = 99,960,623,390.25
5. Step 5: Solve for x
   x = 99,960,623,390.25/202,149
6. Step 6: Final answer
   x = 494,489.82