Finding the Third Proportional to 180,474 and 392,796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   180,474 : 392,796.50 = 392,796.50 : x
2. Step 2: Convert to fraction form
   180,474/392,796.50 = 392,796.50/x
3. Step 3: Cross multiply
   180,474x = 392,796.50 × 392,796.50
4. Step 4: Simplify right side
   180,474x = 154,289,090,412.25
5. Step 5: Solve for x
   x = 154,289,090,412.25/180,474
6. Step 6: Final answer
   x = 854,910.35