Finding the Third Proportional to 277,758 and 598,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,758 : 598,162.50 = 598,162.50 : x
2. Step 2: Convert to fraction form
   277,758/598,162.50 = 598,162.50/x
3. Step 3: Cross multiply
   277,758x = 598,162.50 × 598,162.50
4. Step 4: Simplify right side
   277,758x = 357,798,376,406.25
5. Step 5: Solve for x
   x = 357,798,376,406.25/277,758
6. Step 6: Final answer
   x = 1,288,165.87