Finding the Third Proportional to 78,066 and 184,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,066 : 184,222.50 = 184,222.50 : x
2. Step 2: Convert to fraction form
   78,066/184,222.50 = 184,222.50/x
3. Step 3: Cross multiply
   78,066x = 184,222.50 × 184,222.50
4. Step 4: Simplify right side
   78,066x = 33,937,929,506.25
5. Step 5: Solve for x
   x = 33,937,929,506.25/78,066
6. Step 6: Final answer
   x = 434,733.81