Finding the Third Proportional to 82,209.94 and 177,109.03

Step by Step Solution

1. Step 1: Write the proportion equation
   82,209.94 : 177,109.03 = 177,109.03 : x
2. Step 2: Convert to fraction form
   82,209.94/177,109.03 = 177,109.03/x
3. Step 3: Cross multiply
   82,209.94x = 177,109.03 × 177,109.03
4. Step 4: Simplify right side
   82,209.94x = 31,367,608,950.31
5. Step 5: Solve for x
   x = 31,367,608,950.31/82,209.94
6. Step 6: Final answer
   x = 381,554.95