Finding the Third Proportional to 498,857 and 760,740

Step by Step Solution

1. Step 1: Write the proportion equation
   498,857 : 760,740 = 760,740 : x
2. Step 2: Convert to fraction form
   498,857/760,740 = 760,740/x
3. Step 3: Cross multiply
   498,857x = 760,740 × 760,740
4. Step 4: Simplify right side
   498,857x = 578,725,347,600
5. Step 5: Solve for x
   x = 578,725,347,600/498,857
6. Step 6: Final answer
   x = 1,160,102.69