Finding the Third Proportional to 85,782 and 189,018

Step by Step Solution

1. Step 1: Write the proportion equation
   85,782 : 189,018 = 189,018 : x
2. Step 2: Convert to fraction form
   85,782/189,018 = 189,018/x
3. Step 3: Cross multiply
   85,782x = 189,018 × 189,018
4. Step 4: Simplify right side
   85,782x = 35,727,804,324
5. Step 5: Solve for x
   x = 35,727,804,324/85,782
6. Step 6: Final answer
   x = 416,495.35