Finding the Third Proportional to 78,367.50 and 184,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,367.50 : 184,965.50 = 184,965.50 : x
2. Step 2: Convert to fraction form
   78,367.50/184,965.50 = 184,965.50/x
3. Step 3: Cross multiply
   78,367.50x = 184,965.50 × 184,965.50
4. Step 4: Simplify right side
   78,367.50x = 34,212,236,190.25
5. Step 5: Solve for x
   x = 34,212,236,190.25/78,367.50
6. Step 6: Final answer
   x = 436,561.54