Finding the Third Proportional to 262,495.50 and 407,229

Step by Step Solution

1. Step 1: Write the proportion equation
   262,495.50 : 407,229 = 407,229 : x
2. Step 2: Convert to fraction form
   262,495.50/407,229 = 407,229/x
3. Step 3: Cross multiply
   262,495.50x = 407,229 × 407,229
4. Step 4: Simplify right side
   262,495.50x = 165,835,458,441
5. Step 5: Solve for x
   x = 165,835,458,441/262,495.50
6. Step 6: Final answer
   x = 631,764.96