Finding the Third Proportional to 129,002 and 189,710

Step by Step Solution

1. Step 1: Write the proportion equation
   129,002 : 189,710 = 189,710 : x
2. Step 2: Convert to fraction form
   129,002/189,710 = 189,710/x
3. Step 3: Cross multiply
   129,002x = 189,710 × 189,710
4. Step 4: Simplify right side
   129,002x = 35,989,884,100
5. Step 5: Solve for x
   x = 35,989,884,100/129,002
6. Step 6: Final answer
   x = 278,987.02