Finding the Third Proportional to 85,272 and 186,072

Step by Step Solution

1. Step 1: Write the proportion equation
   85,272 : 186,072 = 186,072 : x
2. Step 2: Convert to fraction form
   85,272/186,072 = 186,072/x
3. Step 3: Cross multiply
   85,272x = 186,072 × 186,072
4. Step 4: Simplify right side
   85,272x = 34,622,789,184
5. Step 5: Solve for x
   x = 34,622,789,184/85,272
6. Step 6: Final answer
   x = 406,027.64