Finding the Third Proportional to 65,894.50 and 155,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,894.50 : 155,477.50 = 155,477.50 : x
2. Step 2: Convert to fraction form
   65,894.50/155,477.50 = 155,477.50/x
3. Step 3: Cross multiply
   65,894.50x = 155,477.50 × 155,477.50
4. Step 4: Simplify right side
   65,894.50x = 24,173,253,006.25
5. Step 5: Solve for x
   x = 24,173,253,006.25/65,894.50
6. Step 6: Final answer
   x = 366,847.81