Finding the Third Proportional to 262,308.50 and 405,086.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,308.50 : 405,086.50 = 405,086.50 : x
2. Step 2: Convert to fraction form
   262,308.50/405,086.50 = 405,086.50/x
3. Step 3: Cross multiply
   262,308.50x = 405,086.50 × 405,086.50
4. Step 4: Simplify right side
   262,308.50x = 164,095,072,482.25
5. Step 5: Solve for x
   x = 164,095,072,482.25/262,308.50
6. Step 6: Final answer
   x = 625,580.46