Finding the Third Proportional to 92,385 and 196,434

Step by Step Solution

1. Step 1: Write the proportion equation
   92,385 : 196,434 = 196,434 : x
2. Step 2: Convert to fraction form
   92,385/196,434 = 196,434/x
3. Step 3: Cross multiply
   92,385x = 196,434 × 196,434
4. Step 4: Simplify right side
   92,385x = 38,586,316,356
5. Step 5: Solve for x
   x = 38,586,316,356/92,385
6. Step 6: Final answer
   x = 417,668.63