Finding the Third Proportional to 38,978 and 85,360

Step by Step Solution

1. Step 1: Write the proportion equation
   38,978 : 85,360 = 85,360 : x
2. Step 2: Convert to fraction form
   38,978/85,360 = 85,360/x
3. Step 3: Cross multiply
   38,978x = 85,360 × 85,360
4. Step 4: Simplify right side
   38,978x = 7,286,329,600
5. Step 5: Solve for x
   x = 7,286,329,600/38,978
6. Step 6: Final answer
   x = 186,934.41