Finding the Third Proportional to 55,695 and 120,082.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,695 : 120,082.50 = 120,082.50 : x
2. Step 2: Convert to fraction form
   55,695/120,082.50 = 120,082.50/x
3. Step 3: Cross multiply
   55,695x = 120,082.50 × 120,082.50
4. Step 4: Simplify right side
   55,695x = 14,419,806,806.25
5. Step 5: Solve for x
   x = 14,419,806,806.25/55,695
6. Step 6: Final answer
   x = 258,906.67