Finding the Third Proportional to 76,748.50 and 162,758

Step by Step Solution

1. Step 1: Write the proportion equation
   76,748.50 : 162,758 = 162,758 : x
2. Step 2: Convert to fraction form
   76,748.50/162,758 = 162,758/x
3. Step 3: Cross multiply
   76,748.50x = 162,758 × 162,758
4. Step 4: Simplify right side
   76,748.50x = 26,490,166,564
5. Step 5: Solve for x
   x = 26,490,166,564/76,748.50
6. Step 6: Final answer
   x = 345,155.50