Finding the Third Proportional to 277,077 and 598,447.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,077 : 598,447.50 = 598,447.50 : x
2. Step 2: Convert to fraction form
   277,077/598,447.50 = 598,447.50/x
3. Step 3: Cross multiply
   277,077x = 598,447.50 × 598,447.50
4. Step 4: Simplify right side
   277,077x = 358,139,410,256.25
5. Step 5: Solve for x
   x = 358,139,410,256.25/277,077
6. Step 6: Final answer
   x = 1,292,562.75