Finding the Third Proportional to 89,565 and 193,116

Step by Step Solution

1. Step 1: Write the proportion equation
   89,565 : 193,116 = 193,116 : x
2. Step 2: Convert to fraction form
   89,565/193,116 = 193,116/x
3. Step 3: Cross multiply
   89,565x = 193,116 × 193,116
4. Step 4: Simplify right side
   89,565x = 37,293,789,456
5. Step 5: Solve for x
   x = 37,293,789,456/89,565
6. Step 6: Final answer
   x = 416,387.98