Finding the Third Proportional to 277,101 and 596,933.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,101 : 596,933.50 = 596,933.50 : x
2. Step 2: Convert to fraction form
   277,101/596,933.50 = 596,933.50/x
3. Step 3: Cross multiply
   277,101x = 596,933.50 × 596,933.50
4. Step 4: Simplify right side
   277,101x = 356,329,603,422.25
5. Step 5: Solve for x
   x = 356,329,603,422.25/277,101
6. Step 6: Final answer
   x = 1,285,919.59