Finding the Third Proportional to 85,080 and 185,052

Step by Step Solution

1. Step 1: Write the proportion equation
   85,080 : 185,052 = 185,052 : x
2. Step 2: Convert to fraction form
   85,080/185,052 = 185,052/x
3. Step 3: Cross multiply
   85,080x = 185,052 × 185,052
4. Step 4: Simplify right side
   85,080x = 34,244,242,704
5. Step 5: Solve for x
   x = 34,244,242,704/85,080
6. Step 6: Final answer
   x = 402,494.63