Finding the Third Proportional to 101,914.50 and 216,162

Step by Step Solution

1. Step 1: Write the proportion equation
   101,914.50 : 216,162 = 216,162 : x
2. Step 2: Convert to fraction form
   101,914.50/216,162 = 216,162/x
3. Step 3: Cross multiply
   101,914.50x = 216,162 × 216,162
4. Step 4: Simplify right side
   101,914.50x = 46,726,010,244
5. Step 5: Solve for x
   x = 46,726,010,244/101,914.50
6. Step 6: Final answer
   x = 458,482.46