Finding the Third Proportional to 81,799 and 89,332

Step by Step Solution

1. Step 1: Write the proportion equation
   81,799 : 89,332 = 89,332 : x
2. Step 2: Convert to fraction form
   81,799/89,332 = 89,332/x
3. Step 3: Cross multiply
   81,799x = 89,332 × 89,332
4. Step 4: Simplify right side
   81,799x = 7,980,206,224
5. Step 5: Solve for x
   x = 7,980,206,224/81,799
6. Step 6: Final answer
   x = 97,558.73