Finding the Third Proportional to 283,726 and 421,569.50

Step by Step Solution

1. Step 1: Write the proportion equation
   283,726 : 421,569.50 = 421,569.50 : x
2. Step 2: Convert to fraction form
   283,726/421,569.50 = 421,569.50/x
3. Step 3: Cross multiply
   283,726x = 421,569.50 × 421,569.50
4. Step 4: Simplify right side
   283,726x = 177,720,843,330.25
5. Step 5: Solve for x
   x = 177,720,843,330.25/283,726
6. Step 6: Final answer
   x = 626,381.94