Finding the Third Proportional to 234,851 and 363,724.50

Step by Step Solution

1. Step 1: Write the proportion equation
   234,851 : 363,724.50 = 363,724.50 : x
2. Step 2: Convert to fraction form
   234,851/363,724.50 = 363,724.50/x
3. Step 3: Cross multiply
   234,851x = 363,724.50 × 363,724.50
4. Step 4: Simplify right side
   234,851x = 132,295,511,900.25
5. Step 5: Solve for x
   x = 132,295,511,900.25/234,851
6. Step 6: Final answer
   x = 563,316.79