Finding the Third Proportional to 106,443 and 177,397.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,443 : 177,397.50 = 177,397.50 : x
2. Step 2: Convert to fraction form
   106,443/177,397.50 = 177,397.50/x
3. Step 3: Cross multiply
   106,443x = 177,397.50 × 177,397.50
4. Step 4: Simplify right side
   106,443x = 31,469,873,006.25
5. Step 5: Solve for x
   x = 31,469,873,006.25/106,443
6. Step 6: Final answer
   x = 295,650.00