Finding the Third Proportional to 82,140 and 191,958

Step by Step Solution

1. Step 1: Write the proportion equation
   82,140 : 191,958 = 191,958 : x
2. Step 2: Convert to fraction form
   82,140/191,958 = 191,958/x
3. Step 3: Cross multiply
   82,140x = 191,958 × 191,958
4. Step 4: Simplify right side
   82,140x = 36,847,873,764
5. Step 5: Solve for x
   x = 36,847,873,764/82,140
6. Step 6: Final answer
   x = 448,598.41