Finding the Third Proportional to 76,342.50 and 162,826.88

Step by Step Solution

1. Step 1: Write the proportion equation
   76,342.50 : 162,826.88 = 162,826.88 : x
2. Step 2: Convert to fraction form
   76,342.50/162,826.88 = 162,826.88/x
3. Step 3: Cross multiply
   76,342.50x = 162,826.88 × 162,826.88
4. Step 4: Simplify right side
   76,342.50x = 26,512,591,222.27
5. Step 5: Solve for x
   x = 26,512,591,222.27/76,342.50
6. Step 6: Final answer
   x = 347,284.82