Finding the Third Proportional to 89,076 and 195,648

Step by Step Solution

1. Step 1: Write the proportion equation
   89,076 : 195,648 = 195,648 : x
2. Step 2: Convert to fraction form
   89,076/195,648 = 195,648/x
3. Step 3: Cross multiply
   89,076x = 195,648 × 195,648
4. Step 4: Simplify right side
   89,076x = 38,278,139,904
5. Step 5: Solve for x
   x = 38,278,139,904/89,076
6. Step 6: Final answer
   x = 429,724.50