Finding the Third Proportional to 45,458 and 99,178

Step by Step Solution

1. Step 1: Write the proportion equation
   45,458 : 99,178 = 99,178 : x
2. Step 2: Convert to fraction form
   45,458/99,178 = 99,178/x
3. Step 3: Cross multiply
   45,458x = 99,178 × 99,178
4. Step 4: Simplify right side
   45,458x = 9,836,275,684
5. Step 5: Solve for x
   x = 9,836,275,684/45,458
6. Step 6: Final answer
   x = 216,381.62