Finding the Third Proportional to 85,804 and 189,072

Step by Step Solution

1. Step 1: Write the proportion equation
   85,804 : 189,072 = 189,072 : x
2. Step 2: Convert to fraction form
   85,804/189,072 = 189,072/x
3. Step 3: Cross multiply
   85,804x = 189,072 × 189,072
4. Step 4: Simplify right side
   85,804x = 35,748,221,184
5. Step 5: Solve for x
   x = 35,748,221,184/85,804
6. Step 6: Final answer
   x = 416,626.51