Finding the Third Proportional to 109,414 and 237,500

Step by Step Solution

1. Step 1: Write the proportion equation
   109,414 : 237,500 = 237,500 : x
2. Step 2: Convert to fraction form
   109,414/237,500 = 237,500/x
3. Step 3: Cross multiply
   109,414x = 237,500 × 237,500
4. Step 4: Simplify right side
   109,414x = 56,406,250,000
5. Step 5: Solve for x
   x = 56,406,250,000/109,414
6. Step 6: Final answer
   x = 515,530.46