Finding the Third Proportional to 107,827.50 and 234,549

Step by Step Solution

1. Step 1: Write the proportion equation
   107,827.50 : 234,549 = 234,549 : x
2. Step 2: Convert to fraction form
   107,827.50/234,549 = 234,549/x
3. Step 3: Cross multiply
   107,827.50x = 234,549 × 234,549
4. Step 4: Simplify right side
   107,827.50x = 55,013,233,401
5. Step 5: Solve for x
   x = 55,013,233,401/107,827.50
6. Step 6: Final answer
   x = 510,196.69