Finding the Third Proportional to 81,084 and 174,156

Step by Step Solution

1. Step 1: Write the proportion equation
   81,084 : 174,156 = 174,156 : x
2. Step 2: Convert to fraction form
   81,084/174,156 = 174,156/x
3. Step 3: Cross multiply
   81,084x = 174,156 × 174,156
4. Step 4: Simplify right side
   81,084x = 30,330,312,336
5. Step 5: Solve for x
   x = 30,330,312,336/81,084
6. Step 6: Final answer
   x = 374,060.39