Finding the Third Proportional to 132,408 and 205,152

Step by Step Solution

1. Step 1: Write the proportion equation
   132,408 : 205,152 = 205,152 : x
2. Step 2: Convert to fraction form
   132,408/205,152 = 205,152/x
3. Step 3: Cross multiply
   132,408x = 205,152 × 205,152
4. Step 4: Simplify right side
   132,408x = 42,087,343,104
5. Step 5: Solve for x
   x = 42,087,343,104/132,408
6. Step 6: Final answer
   x = 317,861.03