Finding the Third Proportional to 78,158.25 and 168,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,158.25 : 168,166.50 = 168,166.50 : x
2. Step 2: Convert to fraction form
   78,158.25/168,166.50 = 168,166.50/x
3. Step 3: Cross multiply
   78,158.25x = 168,166.50 × 168,166.50
4. Step 4: Simplify right side
   78,158.25x = 28,279,971,722.25
5. Step 5: Solve for x
   x = 28,279,971,722.25/78,158.25
6. Step 6: Final answer
   x = 361,829.64