Finding the Third Proportional to 70,782 and 108,645

Step by Step Solution

1. Step 1: Write the proportion equation
   70,782 : 108,645 = 108,645 : x
2. Step 2: Convert to fraction form
   70,782/108,645 = 108,645/x
3. Step 3: Cross multiply
   70,782x = 108,645 × 108,645
4. Step 4: Simplify right side
   70,782x = 11,803,736,025
5. Step 5: Solve for x
   x = 11,803,736,025/70,782
6. Step 6: Final answer
   x = 166,761.83