Finding the Third Proportional to 39,200 and 85,468

Step by Step Solution

1. Step 1: Write the proportion equation
   39,200 : 85,468 = 85,468 : x
2. Step 2: Convert to fraction form
   39,200/85,468 = 85,468/x
3. Step 3: Cross multiply
   39,200x = 85,468 × 85,468
4. Step 4: Simplify right side
   39,200x = 7,304,779,024
5. Step 5: Solve for x
   x = 7,304,779,024/39,200
6. Step 6: Final answer
   x = 186,346.40