Finding the Third Proportional to 277,096.50 and 599,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,096.50 : 599,737.50 = 599,737.50 : x
2. Step 2: Convert to fraction form
   277,096.50/599,737.50 = 599,737.50/x
3. Step 3: Cross multiply
   277,096.50x = 599,737.50 × 599,737.50
4. Step 4: Simplify right side
   277,096.50x = 359,685,068,906.25
5. Step 5: Solve for x
   x = 359,685,068,906.25/277,096.50
6. Step 6: Final answer
   x = 1,298,049.85