Finding the Third Proportional to 202,081.50 and 317,030.25

Step by Step Solution

1. Step 1: Write the proportion equation
   202,081.50 : 317,030.25 = 317,030.25 : x
2. Step 2: Convert to fraction form
   202,081.50/317,030.25 = 317,030.25/x
3. Step 3: Cross multiply
   202,081.50x = 317,030.25 × 317,030.25
4. Step 4: Simplify right side
   202,081.50x = 100,508,179,415.06
5. Step 5: Solve for x
   x = 100,508,179,415.06/202,081.50
6. Step 6: Final answer
   x = 497,364.58