Finding the Third Proportional to 89,187 and 194,961

Step by Step Solution

1. Step 1: Write the proportion equation
   89,187 : 194,961 = 194,961 : x
2. Step 2: Convert to fraction form
   89,187/194,961 = 194,961/x
3. Step 3: Cross multiply
   89,187x = 194,961 × 194,961
4. Step 4: Simplify right side
   89,187x = 38,009,791,521
5. Step 5: Solve for x
   x = 38,009,791,521/89,187
6. Step 6: Final answer
   x = 426,180.85