Finding the Third Proportional to 413,967.50 and 623,002

Step by Step Solution

1. Step 1: Write the proportion equation
   413,967.50 : 623,002 = 623,002 : x
2. Step 2: Convert to fraction form
   413,967.50/623,002 = 623,002/x
3. Step 3: Cross multiply
   413,967.50x = 623,002 × 623,002
4. Step 4: Simplify right side
   413,967.50x = 388,131,492,004
5. Step 5: Solve for x
   x = 388,131,492,004/413,967.50
6. Step 6: Final answer
   x = 937,589.28