Finding the Third Proportional to 78,046.50 and 165,811.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,046.50 : 165,811.50 = 165,811.50 : x
2. Step 2: Convert to fraction form
   78,046.50/165,811.50 = 165,811.50/x
3. Step 3: Cross multiply
   78,046.50x = 165,811.50 × 165,811.50
4. Step 4: Simplify right side
   78,046.50x = 27,493,453,532.25
5. Step 5: Solve for x
   x = 27,493,453,532.25/78,046.50
6. Step 6: Final answer
   x = 352,270.17