Finding the Third Proportional to 260,309.50 and 402,262

Step by Step Solution

1. Step 1: Write the proportion equation
   260,309.50 : 402,262 = 402,262 : x
2. Step 2: Convert to fraction form
   260,309.50/402,262 = 402,262/x
3. Step 3: Cross multiply
   260,309.50x = 402,262 × 402,262
4. Step 4: Simplify right side
   260,309.50x = 161,814,716,644
5. Step 5: Solve for x
   x = 161,814,716,644/260,309.50
6. Step 6: Final answer
   x = 621,624.32