Finding the Third Proportional to 81,711 and 193,196.25

Step by Step Solution

1. Step 1: Write the proportion equation
   81,711 : 193,196.25 = 193,196.25 : x
2. Step 2: Convert to fraction form
   81,711/193,196.25 = 193,196.25/x
3. Step 3: Cross multiply
   81,711x = 193,196.25 × 193,196.25
4. Step 4: Simplify right side
   81,711x = 37,324,791,014.06
5. Step 5: Solve for x
   x = 37,324,791,014.06/81,711
6. Step 6: Final answer
   x = 456,790.29