Finding the Third Proportional to 182,694 and 398,503.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,694 : 398,503.50 = 398,503.50 : x
2. Step 2: Convert to fraction form
   182,694/398,503.50 = 398,503.50/x
3. Step 3: Cross multiply
   182,694x = 398,503.50 × 398,503.50
4. Step 4: Simplify right side
   182,694x = 158,805,039,512.25
5. Step 5: Solve for x
   x = 158,805,039,512.25/182,694
6. Step 6: Final answer
   x = 869,240.59