Finding the Third Proportional to 78,138 and 168,858

Step by Step Solution

1. Step 1: Write the proportion equation
   78,138 : 168,858 = 168,858 : x
2. Step 2: Convert to fraction form
   78,138/168,858 = 168,858/x
3. Step 3: Cross multiply
   78,138x = 168,858 × 168,858
4. Step 4: Simplify right side
   78,138x = 28,513,024,164
5. Step 5: Solve for x
   x = 28,513,024,164/78,138
6. Step 6: Final answer
   x = 364,905.99