Finding the Third Proportional to 263,233.50 and 407,253

Step by Step Solution

1. Step 1: Write the proportion equation
   263,233.50 : 407,253 = 407,253 : x
2. Step 2: Convert to fraction form
   263,233.50/407,253 = 407,253/x
3. Step 3: Cross multiply
   263,233.50x = 407,253 × 407,253
4. Step 4: Simplify right side
   263,233.50x = 165,855,006,009
5. Step 5: Solve for x
   x = 165,855,006,009/263,233.50
6. Step 6: Final answer
   x = 630,068.00