Finding the Third Proportional to 166,896 and 359,064

Step by Step Solution

1. Step 1: Write the proportion equation
   166,896 : 359,064 = 359,064 : x
2. Step 2: Convert to fraction form
   166,896/359,064 = 359,064/x
3. Step 3: Cross multiply
   166,896x = 359,064 × 359,064
4. Step 4: Simplify right side
   166,896x = 128,926,956,096
5. Step 5: Solve for x
   x = 128,926,956,096/166,896
6. Step 6: Final answer
   x = 772,498.78