Finding the Third Proportional to 89,762 and 194,382

Step by Step Solution

1. Step 1: Write the proportion equation
   89,762 : 194,382 = 194,382 : x
2. Step 2: Convert to fraction form
   89,762/194,382 = 194,382/x
3. Step 3: Cross multiply
   89,762x = 194,382 × 194,382
4. Step 4: Simplify right side
   89,762x = 37,784,361,924
5. Step 5: Solve for x
   x = 37,784,361,924/89,762
6. Step 6: Final answer
   x = 420,939.39