Finding the Third Proportional to 414,667.50 and 624,916.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,667.50 : 624,916.50 = 624,916.50 : x
2. Step 2: Convert to fraction form
   414,667.50/624,916.50 = 624,916.50/x
3. Step 3: Cross multiply
   414,667.50x = 624,916.50 × 624,916.50
4. Step 4: Simplify right side
   414,667.50x = 390,520,631,972.25
5. Step 5: Solve for x
   x = 390,520,631,972.25/414,667.50
6. Step 6: Final answer
   x = 941,768.12