Finding the Third Proportional to 82,426.50 and 177,651

Step by Step Solution

1. Step 1: Write the proportion equation
   82,426.50 : 177,651 = 177,651 : x
2. Step 2: Convert to fraction form
   82,426.50/177,651 = 177,651/x
3. Step 3: Cross multiply
   82,426.50x = 177,651 × 177,651
4. Step 4: Simplify right side
   82,426.50x = 31,559,877,801
5. Step 5: Solve for x
   x = 31,559,877,801/82,426.50
6. Step 6: Final answer
   x = 382,885.09