Finding the Third Proportional to 88,096 and 193,616

Step by Step Solution

1. Step 1: Write the proportion equation
   88,096 : 193,616 = 193,616 : x
2. Step 2: Convert to fraction form
   88,096/193,616 = 193,616/x
3. Step 3: Cross multiply
   88,096x = 193,616 × 193,616
4. Step 4: Simplify right side
   88,096x = 37,487,155,456
5. Step 5: Solve for x
   x = 37,487,155,456/88,096
6. Step 6: Final answer
   x = 425,526.19