Finding the Third Proportional to 89,467 and 194,712

Step by Step Solution

1. Step 1: Write the proportion equation
   89,467 : 194,712 = 194,712 : x
2. Step 2: Convert to fraction form
   89,467/194,712 = 194,712/x
3. Step 3: Cross multiply
   89,467x = 194,712 × 194,712
4. Step 4: Simplify right side
   89,467x = 37,912,762,944
5. Step 5: Solve for x
   x = 37,912,762,944/89,467
6. Step 6: Final answer
   x = 423,762.54