Finding the Third Proportional to 357,477.50 and 500,006

Step by Step Solution

1. Step 1: Write the proportion equation
   357,477.50 : 500,006 = 500,006 : x
2. Step 2: Convert to fraction form
   357,477.50/500,006 = 500,006/x
3. Step 3: Cross multiply
   357,477.50x = 500,006 × 500,006
4. Step 4: Simplify right side
   357,477.50x = 250,006,000,036
5. Step 5: Solve for x
   x = 250,006,000,036/357,477.50
6. Step 6: Final answer
   x = 699,361.50