Finding the Third Proportional to 107,064 and 165,780

Step by Step Solution

1. Step 1: Write the proportion equation
   107,064 : 165,780 = 165,780 : x
2. Step 2: Convert to fraction form
   107,064/165,780 = 165,780/x
3. Step 3: Cross multiply
   107,064x = 165,780 × 165,780
4. Step 4: Simplify right side
   107,064x = 27,483,008,400
5. Step 5: Solve for x
   x = 27,483,008,400/107,064
6. Step 6: Final answer
   x = 256,697.01