Finding the Third Proportional to 64,866 and 100,162

Step by Step Solution

1. Step 1: Write the proportion equation
   64,866 : 100,162 = 100,162 : x
2. Step 2: Convert to fraction form
   64,866/100,162 = 100,162/x
3. Step 3: Cross multiply
   64,866x = 100,162 × 100,162
4. Step 4: Simplify right side
   64,866x = 10,032,426,244
5. Step 5: Solve for x
   x = 10,032,426,244/64,866
6. Step 6: Final answer
   x = 154,663.86