Finding the Third Proportional to 78,984 and 188,838

Step by Step Solution

1. Step 1: Write the proportion equation
   78,984 : 188,838 = 188,838 : x
2. Step 2: Convert to fraction form
   78,984/188,838 = 188,838/x
3. Step 3: Cross multiply
   78,984x = 188,838 × 188,838
4. Step 4: Simplify right side
   78,984x = 35,659,790,244
5. Step 5: Solve for x
   x = 35,659,790,244/78,984
6. Step 6: Final answer
   x = 451,481.19