Finding the Third Proportional to 182,196 and 384,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,196 : 384,196.50 = 384,196.50 : x
2. Step 2: Convert to fraction form
   182,196/384,196.50 = 384,196.50/x
3. Step 3: Cross multiply
   182,196x = 384,196.50 × 384,196.50
4. Step 4: Simplify right side
   182,196x = 147,606,950,612.25
5. Step 5: Solve for x
   x = 147,606,950,612.25/182,196
6. Step 6: Final answer
   x = 810,154.73