Finding the Third Proportional to 268,575 and 363,460.50

Step by Step Solution

1. Step 1: Write the proportion equation
   268,575 : 363,460.50 = 363,460.50 : x
2. Step 2: Convert to fraction form
   268,575/363,460.50 = 363,460.50/x
3. Step 3: Cross multiply
   268,575x = 363,460.50 × 363,460.50
4. Step 4: Simplify right side
   268,575x = 132,103,535,060.25
5. Step 5: Solve for x
   x = 132,103,535,060.25/268,575
6. Step 6: Final answer
   x = 491,868.32