Finding the Third Proportional to 632,140 and 978,162

Step by Step Solution

1. Step 1: Write the proportion equation
   632,140 : 978,162 = 978,162 : x
2. Step 2: Convert to fraction form
   632,140/978,162 = 978,162/x
3. Step 3: Cross multiply
   632,140x = 978,162 × 978,162
4. Step 4: Simplify right side
   632,140x = 956,800,898,244
5. Step 5: Solve for x
   x = 956,800,898,244/632,140
6. Step 6: Final answer
   x = 1,513,590.18