Finding the Third Proportional to 78,972 and 171,066

Step by Step Solution

1. Step 1: Write the proportion equation
   78,972 : 171,066 = 171,066 : x
2. Step 2: Convert to fraction form
   78,972/171,066 = 171,066/x
3. Step 3: Cross multiply
   78,972x = 171,066 × 171,066
4. Step 4: Simplify right side
   78,972x = 29,263,576,356
5. Step 5: Solve for x
   x = 29,263,576,356/78,972
6. Step 6: Final answer
   x = 370,556.35