Finding the Third Proportional to 83,799 and 191,451

Step by Step Solution

1. Step 1: Write the proportion equation
   83,799 : 191,451 = 191,451 : x
2. Step 2: Convert to fraction form
   83,799/191,451 = 191,451/x
3. Step 3: Cross multiply
   83,799x = 191,451 × 191,451
4. Step 4: Simplify right side
   83,799x = 36,653,485,401
5. Step 5: Solve for x
   x = 36,653,485,401/83,799
6. Step 6: Final answer
   x = 437,397.65