Finding the Third Proportional to 111,922 and 183,558

Step by Step Solution

1. Step 1: Write the proportion equation
   111,922 : 183,558 = 183,558 : x
2. Step 2: Convert to fraction form
   111,922/183,558 = 183,558/x
3. Step 3: Cross multiply
   111,922x = 183,558 × 183,558
4. Step 4: Simplify right side
   111,922x = 33,693,539,364
5. Step 5: Solve for x
   x = 33,693,539,364/111,922
6. Step 6: Final answer
   x = 301,044.83