Finding the Third Proportional to 85,724 and 188,052

Step by Step Solution

1. Step 1: Write the proportion equation
   85,724 : 188,052 = 188,052 : x
2. Step 2: Convert to fraction form
   85,724/188,052 = 188,052/x
3. Step 3: Cross multiply
   85,724x = 188,052 × 188,052
4. Step 4: Simplify right side
   85,724x = 35,363,554,704
5. Step 5: Solve for x
   x = 35,363,554,704/85,724
6. Step 6: Final answer
   x = 412,528.05