Finding the Third Proportional to 39,578 and 85,300

Step by Step Solution

1. Step 1: Write the proportion equation
   39,578 : 85,300 = 85,300 : x
2. Step 2: Convert to fraction form
   39,578/85,300 = 85,300/x
3. Step 3: Cross multiply
   39,578x = 85,300 × 85,300
4. Step 4: Simplify right side
   39,578x = 7,276,090,000
5. Step 5: Solve for x
   x = 7,276,090,000/39,578
6. Step 6: Final answer
   x = 183,841.78