Finding the Third Proportional to 182,692 and 398,499.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,692 : 398,499.50 = 398,499.50 : x
2. Step 2: Convert to fraction form
   182,692/398,499.50 = 398,499.50/x
3. Step 3: Cross multiply
   182,692x = 398,499.50 × 398,499.50
4. Step 4: Simplify right side
   182,692x = 158,801,851,500.25
5. Step 5: Solve for x
   x = 158,801,851,500.25/182,692
6. Step 6: Final answer
   x = 869,232.65