Finding the Third Proportional to 202,420 and 302,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   202,420 : 302,514.50 = 302,514.50 : x
2. Step 2: Convert to fraction form
   202,420/302,514.50 = 302,514.50/x
3. Step 3: Cross multiply
   202,420x = 302,514.50 × 302,514.50
4. Step 4: Simplify right side
   202,420x = 91,515,022,710.25
5. Step 5: Solve for x
   x = 91,515,022,710.25/202,420
6. Step 6: Final answer
   x = 452,104.65