Finding the Third Proportional to 193,320 and 465,696

Step by Step Solution

1. Step 1: Write the proportion equation
   193,320 : 465,696 = 465,696 : x
2. Step 2: Convert to fraction form
   193,320/465,696 = 465,696/x
3. Step 3: Cross multiply
   193,320x = 465,696 × 465,696
4. Step 4: Simplify right side
   193,320x = 216,872,764,416
5. Step 5: Solve for x
   x = 216,872,764,416/193,320
6. Step 6: Final answer
   x = 1,121,833.05