Finding the Third Proportional to 83,298 and 182,130

Step by Step Solution

1. Step 1: Write the proportion equation
   83,298 : 182,130 = 182,130 : x
2. Step 2: Convert to fraction form
   83,298/182,130 = 182,130/x
3. Step 3: Cross multiply
   83,298x = 182,130 × 182,130
4. Step 4: Simplify right side
   83,298x = 33,171,336,900
5. Step 5: Solve for x
   x = 33,171,336,900/83,298
6. Step 6: Final answer
   x = 398,224.89