Finding the Third Proportional to 182,709 and 398,621.25

Step by Step Solution

1. Step 1: Write the proportion equation
   182,709 : 398,621.25 = 398,621.25 : x
2. Step 2: Convert to fraction form
   182,709/398,621.25 = 398,621.25/x
3. Step 3: Cross multiply
   182,709x = 398,621.25 × 398,621.25
4. Step 4: Simplify right side
   182,709x = 158,898,900,951.56
5. Step 5: Solve for x
   x = 158,898,900,951.56/182,709
6. Step 6: Final answer
   x = 869,682.94