Finding the Third Proportional to 89,759 and 194,377

Step by Step Solution

1. Step 1: Write the proportion equation
   89,759 : 194,377 = 194,377 : x
2. Step 2: Convert to fraction form
   89,759/194,377 = 194,377/x
3. Step 3: Cross multiply
   89,759x = 194,377 × 194,377
4. Step 4: Simplify right side
   89,759x = 37,782,418,129
5. Step 5: Solve for x
   x = 37,782,418,129/89,759
6. Step 6: Final answer
   x = 420,931.81