Finding the Third Proportional to 120,404 and 183,810

Step by Step Solution

1. Step 1: Write the proportion equation
   120,404 : 183,810 = 183,810 : x
2. Step 2: Convert to fraction form
   120,404/183,810 = 183,810/x
3. Step 3: Cross multiply
   120,404x = 183,810 × 183,810
4. Step 4: Simplify right side
   120,404x = 33,786,116,100
5. Step 5: Solve for x
   x = 33,786,116,100/120,404
6. Step 6: Final answer
   x = 280,606.26