Finding the Third Proportional to 78,160.50 and 159,083.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,160.50 : 159,083.50 = 159,083.50 : x
2. Step 2: Convert to fraction form
   78,160.50/159,083.50 = 159,083.50/x
3. Step 3: Cross multiply
   78,160.50x = 159,083.50 × 159,083.50
4. Step 4: Simplify right side
   78,160.50x = 25,307,559,972.25
5. Step 5: Solve for x
   x = 25,307,559,972.25/78,160.50
6. Step 6: Final answer
   x = 323,789.64