Finding the Third Proportional to 92,146.50 and 200,966.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,146.50 : 200,966.50 = 200,966.50 : x
2. Step 2: Convert to fraction form
   92,146.50/200,966.50 = 200,966.50/x
3. Step 3: Cross multiply
   92,146.50x = 200,966.50 × 200,966.50
4. Step 4: Simplify right side
   92,146.50x = 40,387,534,122.25
5. Step 5: Solve for x
   x = 40,387,534,122.25/92,146.50
6. Step 6: Final answer
   x = 438,297.00