Finding the Third Proportional to 78,493.50 and 165,325.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,493.50 : 165,325.50 = 165,325.50 : x
2. Step 2: Convert to fraction form
   78,493.50/165,325.50 = 165,325.50/x
3. Step 3: Cross multiply
   78,493.50x = 165,325.50 × 165,325.50
4. Step 4: Simplify right side
   78,493.50x = 27,332,520,950.25
5. Step 5: Solve for x
   x = 27,332,520,950.25/78,493.50
6. Step 6: Final answer
   x = 348,213.81