Finding the Third Proportional to 89,190 and 194,964

Step by Step Solution

1. Step 1: Write the proportion equation
   89,190 : 194,964 = 194,964 : x
2. Step 2: Convert to fraction form
   89,190/194,964 = 194,964/x
3. Step 3: Cross multiply
   89,190x = 194,964 × 194,964
4. Step 4: Simplify right side
   89,190x = 38,010,961,296
5. Step 5: Solve for x
   x = 38,010,961,296/89,190
6. Step 6: Final answer
   x = 426,179.63