Finding the Third Proportional to 78,158 and 168,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,158 : 168,165.50 = 168,165.50 : x
2. Step 2: Convert to fraction form
   78,158/168,165.50 = 168,165.50/x
3. Step 3: Cross multiply
   78,158x = 168,165.50 × 168,165.50
4. Step 4: Simplify right side
   78,158x = 28,279,635,390.25
5. Step 5: Solve for x
   x = 28,279,635,390.25/78,158
6. Step 6: Final answer
   x = 361,826.50