Finding the Third Proportional to 85,624 and 113,644

Step by Step Solution

1. Step 1: Write the proportion equation
   85,624 : 113,644 = 113,644 : x
2. Step 2: Convert to fraction form
   85,624/113,644 = 113,644/x
3. Step 3: Cross multiply
   85,624x = 113,644 × 113,644
4. Step 4: Simplify right side
   85,624x = 12,914,958,736
5. Step 5: Solve for x
   x = 12,914,958,736/85,624
6. Step 6: Final answer
   x = 150,833.40