Finding the Third Proportional to 117,784.50 and 241,806

Step by Step Solution

1. Step 1: Write the proportion equation
   117,784.50 : 241,806 = 241,806 : x
2. Step 2: Convert to fraction form
   117,784.50/241,806 = 241,806/x
3. Step 3: Cross multiply
   117,784.50x = 241,806 × 241,806
4. Step 4: Simplify right side
   117,784.50x = 58,470,141,636
5. Step 5: Solve for x
   x = 58,470,141,636/117,784.50
6. Step 6: Final answer
   x = 496,416.27