Finding the Third Proportional to 49,156.50 and 106,635

Step by Step Solution

1. Step 1: Write the proportion equation
   49,156.50 : 106,635 = 106,635 : x
2. Step 2: Convert to fraction form
   49,156.50/106,635 = 106,635/x
3. Step 3: Cross multiply
   49,156.50x = 106,635 × 106,635
4. Step 4: Simplify right side
   49,156.50x = 11,371,023,225
5. Step 5: Solve for x
   x = 11,371,023,225/49,156.50
6. Step 6: Final answer
   x = 231,322.88