Finding the Third Proportional to 107,624 and 212,500

Step by Step Solution

1. Step 1: Write the proportion equation
   107,624 : 212,500 = 212,500 : x
2. Step 2: Convert to fraction form
   107,624/212,500 = 212,500/x
3. Step 3: Cross multiply
   107,624x = 212,500 × 212,500
4. Step 4: Simplify right side
   107,624x = 45,156,250,000
5. Step 5: Solve for x
   x = 45,156,250,000/107,624
6. Step 6: Final answer
   x = 419,574.17