Finding the Third Proportional to 78,465.50 and 161,061.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,465.50 : 161,061.50 = 161,061.50 : x
2. Step 2: Convert to fraction form
   78,465.50/161,061.50 = 161,061.50/x
3. Step 3: Cross multiply
   78,465.50x = 161,061.50 × 161,061.50
4. Step 4: Simplify right side
   78,465.50x = 25,940,806,782.25
5. Step 5: Solve for x
   x = 25,940,806,782.25/78,465.50
6. Step 6: Final answer
   x = 330,601.43