Finding the Third Proportional to 83,577 and 174,066

Step by Step Solution

1. Step 1: Write the proportion equation
   83,577 : 174,066 = 174,066 : x
2. Step 2: Convert to fraction form
   83,577/174,066 = 174,066/x
3. Step 3: Cross multiply
   83,577x = 174,066 × 174,066
4. Step 4: Simplify right side
   83,577x = 30,298,972,356
5. Step 5: Solve for x
   x = 30,298,972,356/83,577
6. Step 6: Final answer
   x = 362,527.64