Finding the Third Proportional to 78,023.25 and 168,358.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,023.25 : 168,358.50 = 168,358.50 : x
2. Step 2: Convert to fraction form
   78,023.25/168,358.50 = 168,358.50/x
3. Step 3: Cross multiply
   78,023.25x = 168,358.50 × 168,358.50
4. Step 4: Simplify right side
   78,023.25x = 28,344,584,522.25
5. Step 5: Solve for x
   x = 28,344,584,522.25/78,023.25
6. Step 6: Final answer
   x = 363,283.82