Finding the Third Proportional to 106,776 and 167,500

Step by Step Solution

1. Step 1: Write the proportion equation
   106,776 : 167,500 = 167,500 : x
2. Step 2: Convert to fraction form
   106,776/167,500 = 167,500/x
3. Step 3: Cross multiply
   106,776x = 167,500 × 167,500
4. Step 4: Simplify right side
   106,776x = 28,056,250,000
5. Step 5: Solve for x
   x = 28,056,250,000/106,776
6. Step 6: Final answer
   x = 262,758.02