Finding the Third Proportional to 133,002 and 205,389

Step by Step Solution

1. Step 1: Write the proportion equation
   133,002 : 205,389 = 205,389 : x
2. Step 2: Convert to fraction form
   133,002/205,389 = 205,389/x
3. Step 3: Cross multiply
   133,002x = 205,389 × 205,389
4. Step 4: Simplify right side
   133,002x = 42,184,641,321
5. Step 5: Solve for x
   x = 42,184,641,321/133,002
6. Step 6: Final answer
   x = 317,172.98