Finding the Third Proportional to 90,624 and 133,162

Step by Step Solution

1. Step 1: Write the proportion equation
   90,624 : 133,162 = 133,162 : x
2. Step 2: Convert to fraction form
   90,624/133,162 = 133,162/x
3. Step 3: Cross multiply
   90,624x = 133,162 × 133,162
4. Step 4: Simplify right side
   90,624x = 17,732,118,244
5. Step 5: Solve for x
   x = 17,732,118,244/90,624
6. Step 6: Final answer
   x = 195,666.91