Finding the Third Proportional to 160,824 and 354,718.50

Step by Step Solution

1. Step 1: Write the proportion equation
   160,824 : 354,718.50 = 354,718.50 : x
2. Step 2: Convert to fraction form
   160,824/354,718.50 = 354,718.50/x
3. Step 3: Cross multiply
   160,824x = 354,718.50 × 354,718.50
4. Step 4: Simplify right side
   160,824x = 125,825,214,242.25
5. Step 5: Solve for x
   x = 125,825,214,242.25/160,824
6. Step 6: Final answer
   x = 782,378.34