Finding the Third Proportional to 101,298 and 234,510

Step by Step Solution

1. Step 1: Write the proportion equation
   101,298 : 234,510 = 234,510 : x
2. Step 2: Convert to fraction form
   101,298/234,510 = 234,510/x
3. Step 3: Cross multiply
   101,298x = 234,510 × 234,510
4. Step 4: Simplify right side
   101,298x = 54,994,940,100
5. Step 5: Solve for x
   x = 54,994,940,100/101,298
6. Step 6: Final answer
   x = 542,902.53