Finding the Third Proportional to 89,028 and 137,574

Step by Step Solution

1. Step 1: Write the proportion equation
   89,028 : 137,574 = 137,574 : x
2. Step 2: Convert to fraction form
   89,028/137,574 = 137,574/x
3. Step 3: Cross multiply
   89,028x = 137,574 × 137,574
4. Step 4: Simplify right side
   89,028x = 18,926,605,476
5. Step 5: Solve for x
   x = 18,926,605,476/89,028
6. Step 6: Final answer
   x = 212,591.61