Finding the Third Proportional to 132,004 and 175,039.50

Step by Step Solution

1. Step 1: Write the proportion equation
   132,004 : 175,039.50 = 175,039.50 : x
2. Step 2: Convert to fraction form
   132,004/175,039.50 = 175,039.50/x
3. Step 3: Cross multiply
   132,004x = 175,039.50 × 175,039.50
4. Step 4: Simplify right side
   132,004x = 30,638,826,560.25
5. Step 5: Solve for x
   x = 30,638,826,560.25/132,004
6. Step 6: Final answer
   x = 232,105.29