Finding the Third Proportional to 85,578 and 133,031.25

Step by Step Solution

1. Step 1: Write the proportion equation
   85,578 : 133,031.25 = 133,031.25 : x
2. Step 2: Convert to fraction form
   85,578/133,031.25 = 133,031.25/x
3. Step 3: Cross multiply
   85,578x = 133,031.25 × 133,031.25
4. Step 4: Simplify right side
   85,578x = 17,697,313,476.56
5. Step 5: Solve for x
   x = 17,697,313,476.56/85,578
6. Step 6: Final answer
   x = 206,797.47