Finding the Third Proportional to 85,801 and 189,053

Step by Step Solution

1. Step 1: Write the proportion equation
   85,801 : 189,053 = 189,053 : x
2. Step 2: Convert to fraction form
   85,801/189,053 = 189,053/x
3. Step 3: Cross multiply
   85,801x = 189,053 × 189,053
4. Step 4: Simplify right side
   85,801x = 35,741,036,809
5. Step 5: Solve for x
   x = 35,741,036,809/85,801
6. Step 6: Final answer
   x = 416,557.35