Finding the Third Proportional to 83,346 and 182,334

Step by Step Solution

1. Step 1: Write the proportion equation
   83,346 : 182,334 = 182,334 : x
2. Step 2: Convert to fraction form
   83,346/182,334 = 182,334/x
3. Step 3: Cross multiply
   83,346x = 182,334 × 182,334
4. Step 4: Simplify right side
   83,346x = 33,245,687,556
5. Step 5: Solve for x
   x = 33,245,687,556/83,346
6. Step 6: Final answer
   x = 398,887.62