Finding the Third Proportional to 85,583.50 and 184,066

Step by Step Solution

1. Step 1: Write the proportion equation
   85,583.50 : 184,066 = 184,066 : x
2. Step 2: Convert to fraction form
   85,583.50/184,066 = 184,066/x
3. Step 3: Cross multiply
   85,583.50x = 184,066 × 184,066
4. Step 4: Simplify right side
   85,583.50x = 33,880,292,356
5. Step 5: Solve for x
   x = 33,880,292,356/85,583.50
6. Step 6: Final answer
   x = 395,874.12