Finding the Third Proportional to 462.38 and 978.05

Step by Step Solution

1. Step 1: Write the proportion equation
   462.38 : 978.05 = 978.05 : x
2. Step 2: Convert to fraction form
   462.38/978.05 = 978.05/x
3. Step 3: Cross multiply
   462.38x = 978.05 × 978.05
4. Step 4: Simplify right side
   462.38x = 956,575.69
5. Step 5: Solve for x
   x = 956,575.69/462.38
6. Step 6: Final answer
   x = 2,068.83