Finding the Third Proportional to 89,732 and 194,323

Step by Step Solution

1. Step 1: Write the proportion equation
   89,732 : 194,323 = 194,323 : x
2. Step 2: Convert to fraction form
   89,732/194,323 = 194,323/x
3. Step 3: Cross multiply
   89,732x = 194,323 × 194,323
4. Step 4: Simplify right side
   89,732x = 37,761,428,329
5. Step 5: Solve for x
   x = 37,761,428,329/89,732
6. Step 6: Final answer
   x = 420,824.55