Finding the Third Proportional to 202,194 and 317,155.50

Step by Step Solution

1. Step 1: Write the proportion equation
   202,194 : 317,155.50 = 317,155.50 : x
2. Step 2: Convert to fraction form
   202,194/317,155.50 = 317,155.50/x
3. Step 3: Cross multiply
   202,194x = 317,155.50 × 317,155.50
4. Step 4: Simplify right side
   202,194x = 100,587,611,180.25
5. Step 5: Solve for x
   x = 100,587,611,180.25/202,194
6. Step 6: Final answer
   x = 497,480.69