Finding the Third Proportional to 123,770.53 and 187,039.76

Step by Step Solution

1. Step 1: Write the proportion equation
   123,770.53 : 187,039.76 = 187,039.76 : x
2. Step 2: Convert to fraction form
   123,770.53/187,039.76 = 187,039.76/x
3. Step 3: Cross multiply
   123,770.53x = 187,039.76 × 187,039.76
4. Step 4: Simplify right side
   123,770.53x = 34,983,871,002.56
5. Step 5: Solve for x
   x = 34,983,871,002.56/123,770.53
6. Step 6: Final answer
   x = 282,651.05