Finding the Third Proportional to 82,144 and 176,556.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,144 : 176,556.50 = 176,556.50 : x
2. Step 2: Convert to fraction form
   82,144/176,556.50 = 176,556.50/x
3. Step 3: Cross multiply
   82,144x = 176,556.50 × 176,556.50
4. Step 4: Simplify right side
   82,144x = 31,172,197,692.25
5. Step 5: Solve for x
   x = 31,172,197,692.25/82,144
6. Step 6: Final answer
   x = 379,482.34