Finding the Third Proportional to 85,818 and 189,088

Step by Step Solution

1. Step 1: Write the proportion equation
   85,818 : 189,088 = 189,088 : x
2. Step 2: Convert to fraction form
   85,818/189,088 = 189,088/x
3. Step 3: Cross multiply
   85,818x = 189,088 × 189,088
4. Step 4: Simplify right side
   85,818x = 35,754,271,744
5. Step 5: Solve for x
   x = 35,754,271,744/85,818
6. Step 6: Final answer
   x = 416,629.05