Finding the Third Proportional to 132,006 and 175,042.50

Step by Step Solution

1. Step 1: Write the proportion equation
   132,006 : 175,042.50 = 175,042.50 : x
2. Step 2: Convert to fraction form
   132,006/175,042.50 = 175,042.50/x
3. Step 3: Cross multiply
   132,006x = 175,042.50 × 175,042.50
4. Step 4: Simplify right side
   132,006x = 30,639,876,806.25
5. Step 5: Solve for x
   x = 30,639,876,806.25/132,006
6. Step 6: Final answer
   x = 232,109.73