Finding the Third Proportional to 260,902 and 403,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   260,902 : 403,678.50 = 403,678.50 : x
2. Step 2: Convert to fraction form
   260,902/403,678.50 = 403,678.50/x
3. Step 3: Cross multiply
   260,902x = 403,678.50 × 403,678.50
4. Step 4: Simplify right side
   260,902x = 162,956,331,362.25
5. Step 5: Solve for x
   x = 162,956,331,362.25/260,902
6. Step 6: Final answer
   x = 624,588.28