Finding the Third Proportional to 106,965 and 166,363.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,965 : 166,363.50 = 166,363.50 : x
2. Step 2: Convert to fraction form
   106,965/166,363.50 = 166,363.50/x
3. Step 3: Cross multiply
   106,965x = 166,363.50 × 166,363.50
4. Step 4: Simplify right side
   106,965x = 27,676,814,132.25
5. Step 5: Solve for x
   x = 27,676,814,132.25/106,965
6. Step 6: Final answer
   x = 258,746.45