Finding the Third Proportional to 180,822.38 and 392,786.72

Step by Step Solution

1. Step 1: Write the proportion equation
   180,822.38 : 392,786.72 = 392,786.72 : x
2. Step 2: Convert to fraction form
   180,822.38/392,786.72 = 392,786.72/x
3. Step 3: Cross multiply
   180,822.38x = 392,786.72 × 392,786.72
4. Step 4: Simplify right side
   180,822.38x = 154,281,406,426.39
5. Step 5: Solve for x
   x = 154,281,406,426.39/180,822.38
6. Step 6: Final answer
   x = 853,220.77