Finding the Third Proportional to 234,477 and 363,298.50

Step by Step Solution

1. Step 1: Write the proportion equation
   234,477 : 363,298.50 = 363,298.50 : x
2. Step 2: Convert to fraction form
   234,477/363,298.50 = 363,298.50/x
3. Step 3: Cross multiply
   234,477x = 363,298.50 × 363,298.50
4. Step 4: Simplify right side
   234,477x = 131,985,800,102.25
5. Step 5: Solve for x
   x = 131,985,800,102.25/234,477
6. Step 6: Final answer
   x = 562,894.44