Finding the Third Proportional to 89,938 and 194,284

Step by Step Solution

1. Step 1: Write the proportion equation
   89,938 : 194,284 = 194,284 : x
2. Step 2: Convert to fraction form
   89,938/194,284 = 194,284/x
3. Step 3: Cross multiply
   89,938x = 194,284 × 194,284
4. Step 4: Simplify right side
   89,938x = 37,746,272,656
5. Step 5: Solve for x
   x = 37,746,272,656/89,938
6. Step 6: Final answer
   x = 419,692.15