Finding the Third Proportional to 262,501 and 407,238

Step by Step Solution

1. Step 1: Write the proportion equation
   262,501 : 407,238 = 407,238 : x
2. Step 2: Convert to fraction form
   262,501/407,238 = 407,238/x
3. Step 3: Cross multiply
   262,501x = 407,238 × 407,238
4. Step 4: Simplify right side
   262,501x = 165,842,788,644
5. Step 5: Solve for x
   x = 165,842,788,644/262,501
6. Step 6: Final answer
   x = 631,779.65