Finding the Third Proportional to 133,504 and 205,280

Step by Step Solution

1. Step 1: Write the proportion equation
   133,504 : 205,280 = 205,280 : x
2. Step 2: Convert to fraction form
   133,504/205,280 = 205,280/x
3. Step 3: Cross multiply
   133,504x = 205,280 × 205,280
4. Step 4: Simplify right side
   133,504x = 42,139,878,400
5. Step 5: Solve for x
   x = 42,139,878,400/133,504
6. Step 6: Final answer
   x = 315,645.06