Finding the Third Proportional to 123,098 and 182,343

Step by Step Solution

1. Step 1: Write the proportion equation
   123,098 : 182,343 = 182,343 : x
2. Step 2: Convert to fraction form
   123,098/182,343 = 182,343/x
3. Step 3: Cross multiply
   123,098x = 182,343 × 182,343
4. Step 4: Simplify right side
   123,098x = 33,248,969,649
5. Step 5: Solve for x
   x = 33,248,969,649/123,098
6. Step 6: Final answer
   x = 270,101.62