Finding the Third Proportional to 498,855.75 and 760,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   498,855.75 : 760,738.50 = 760,738.50 : x
2. Step 2: Convert to fraction form
   498,855.75/760,738.50 = 760,738.50/x
3. Step 3: Cross multiply
   498,855.75x = 760,738.50 × 760,738.50
4. Step 4: Simplify right side
   498,855.75x = 578,723,065,382.25
5. Step 5: Solve for x
   x = 578,723,065,382.25/498,855.75
6. Step 6: Final answer
   x = 1,160,101.02