Finding the Third Proportional to 178,402.50 and 253,662

Step by Step Solution

1. Step 1: Write the proportion equation
   178,402.50 : 253,662 = 253,662 : x
2. Step 2: Convert to fraction form
   178,402.50/253,662 = 253,662/x
3. Step 3: Cross multiply
   178,402.50x = 253,662 × 253,662
4. Step 4: Simplify right side
   178,402.50x = 64,344,410,244
5. Step 5: Solve for x
   x = 64,344,410,244/178,402.50
6. Step 6: Final answer
   x = 360,669.89