Finding the Third Proportional to 85,032 and 186,426

Step by Step Solution

1. Step 1: Write the proportion equation
   85,032 : 186,426 = 186,426 : x
2. Step 2: Convert to fraction form
   85,032/186,426 = 186,426/x
3. Step 3: Cross multiply
   85,032x = 186,426 × 186,426
4. Step 4: Simplify right side
   85,032x = 34,754,653,476
5. Step 5: Solve for x
   x = 34,754,653,476/85,032
6. Step 6: Final answer
   x = 408,724.40