Finding the Third Proportional to 89,838 and 194,627

Step by Step Solution

1. Step 1: Write the proportion equation
   89,838 : 194,627 = 194,627 : x
2. Step 2: Convert to fraction form
   89,838/194,627 = 194,627/x
3. Step 3: Cross multiply
   89,838x = 194,627 × 194,627
4. Step 4: Simplify right side
   89,838x = 37,879,669,129
5. Step 5: Solve for x
   x = 37,879,669,129/89,838
6. Step 6: Final answer
   x = 421,644.17