Finding the Third Proportional to 82,012.50 and 174,231

Step by Step Solution

1. Step 1: Write the proportion equation
   82,012.50 : 174,231 = 174,231 : x
2. Step 2: Convert to fraction form
   82,012.50/174,231 = 174,231/x
3. Step 3: Cross multiply
   82,012.50x = 174,231 × 174,231
4. Step 4: Simplify right side
   82,012.50x = 30,356,441,361
5. Step 5: Solve for x
   x = 30,356,441,361/82,012.50
6. Step 6: Final answer
   x = 370,144.08