Finding the Third Proportional to 186,012 and 269,946

Step by Step Solution

1. Step 1: Write the proportion equation
   186,012 : 269,946 = 269,946 : x
2. Step 2: Convert to fraction form
   186,012/269,946 = 269,946/x
3. Step 3: Cross multiply
   186,012x = 269,946 × 269,946
4. Step 4: Simplify right side
   186,012x = 72,870,842,916
5. Step 5: Solve for x
   x = 72,870,842,916/186,012
6. Step 6: Final answer
   x = 391,753.45