Finding the Third Proportional to 414,049 and 623,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,049 : 623,146.50 = 623,146.50 : x
2. Step 2: Convert to fraction form
   414,049/623,146.50 = 623,146.50/x
3. Step 3: Cross multiply
   414,049x = 623,146.50 × 623,146.50
4. Step 4: Simplify right side
   414,049x = 388,311,560,462.25
5. Step 5: Solve for x
   x = 388,311,560,462.25/414,049
6. Step 6: Final answer
   x = 937,839.63