Finding the Third Proportional to 92,460 and 196,834.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,460 : 196,834.50 = 196,834.50 : x
2. Step 2: Convert to fraction form
   92,460/196,834.50 = 196,834.50/x
3. Step 3: Cross multiply
   92,460x = 196,834.50 × 196,834.50
4. Step 4: Simplify right side
   92,460x = 38,743,820,390.25
5. Step 5: Solve for x
   x = 38,743,820,390.25/92,460
6. Step 6: Final answer
   x = 419,033.32