Finding the Third Proportional to 81,358.50 and 175,206

Step by Step Solution

1. Step 1: Write the proportion equation
   81,358.50 : 175,206 = 175,206 : x
2. Step 2: Convert to fraction form
   81,358.50/175,206 = 175,206/x
3. Step 3: Cross multiply
   81,358.50x = 175,206 × 175,206
4. Step 4: Simplify right side
   81,358.50x = 30,697,142,436
5. Step 5: Solve for x
   x = 30,697,142,436/81,358.50
6. Step 6: Final answer
   x = 377,307.13