Finding the Third Proportional to 288,156 and 415,093.50

Step by Step Solution

1. Step 1: Write the proportion equation
   288,156 : 415,093.50 = 415,093.50 : x
2. Step 2: Convert to fraction form
   288,156/415,093.50 = 415,093.50/x
3. Step 3: Cross multiply
   288,156x = 415,093.50 × 415,093.50
4. Step 4: Simplify right side
   288,156x = 172,302,613,742.25
5. Step 5: Solve for x
   x = 172,302,613,742.25/288,156
6. Step 6: Final answer
   x = 597,949.08