Finding the Third Proportional to 414,462 and 623,230.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,462 : 623,230.50 = 623,230.50 : x
2. Step 2: Convert to fraction form
   414,462/623,230.50 = 623,230.50/x
3. Step 3: Cross multiply
   414,462x = 623,230.50 × 623,230.50
4. Step 4: Simplify right side
   414,462x = 388,416,256,130.25
5. Step 5: Solve for x
   x = 388,416,256,130.25/414,462
6. Step 6: Final answer
   x = 937,157.70