Finding the Third Proportional to 85,194 and 182,064

Step by Step Solution

1. Step 1: Write the proportion equation
   85,194 : 182,064 = 182,064 : x
2. Step 2: Convert to fraction form
   85,194/182,064 = 182,064/x
3. Step 3: Cross multiply
   85,194x = 182,064 × 182,064
4. Step 4: Simplify right side
   85,194x = 33,147,300,096
5. Step 5: Solve for x
   x = 33,147,300,096/85,194
6. Step 6: Final answer
   x = 389,080.22