Finding the Third Proportional to 277,546 and 597,916.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,546 : 597,916.50 = 597,916.50 : x
2. Step 2: Convert to fraction form
   277,546/597,916.50 = 597,916.50/x
3. Step 3: Cross multiply
   277,546x = 597,916.50 × 597,916.50
4. Step 4: Simplify right side
   277,546x = 357,504,140,972.25
5. Step 5: Solve for x
   x = 357,504,140,972.25/277,546
6. Step 6: Final answer
   x = 1,288,089.69