Finding the Third Proportional to 166,560 and 253,984.50

Step by Step Solution

1. Step 1: Write the proportion equation
   166,560 : 253,984.50 = 253,984.50 : x
2. Step 2: Convert to fraction form
   166,560/253,984.50 = 253,984.50/x
3. Step 3: Cross multiply
   166,560x = 253,984.50 × 253,984.50
4. Step 4: Simplify right side
   166,560x = 64,508,126,240.25
5. Step 5: Solve for x
   x = 64,508,126,240.25/166,560
6. Step 6: Final answer
   x = 387,296.63