Finding the Third Proportional to 135,406 and 189,300

Step by Step Solution

1. Step 1: Write the proportion equation
   135,406 : 189,300 = 189,300 : x
2. Step 2: Convert to fraction form
   135,406/189,300 = 189,300/x
3. Step 3: Cross multiply
   135,406x = 189,300 × 189,300
4. Step 4: Simplify right side
   135,406x = 35,834,490,000
5. Step 5: Solve for x
   x = 35,834,490,000/135,406
6. Step 6: Final answer
   x = 264,644.77