Finding the Third Proportional to 89,410 and 194,852

Step by Step Solution

1. Step 1: Write the proportion equation
   89,410 : 194,852 = 194,852 : x
2. Step 2: Convert to fraction form
   89,410/194,852 = 194,852/x
3. Step 3: Cross multiply
   89,410x = 194,852 × 194,852
4. Step 4: Simplify right side
   89,410x = 37,967,301,904
5. Step 5: Solve for x
   x = 37,967,301,904/89,410
6. Step 6: Final answer
   x = 424,642.68