Finding the Third Proportional to 85,822 and 189,094

Step by Step Solution

1. Step 1: Write the proportion equation
   85,822 : 189,094 = 189,094 : x
2. Step 2: Convert to fraction form
   85,822/189,094 = 189,094/x
3. Step 3: Cross multiply
   85,822x = 189,094 × 189,094
4. Step 4: Simplify right side
   85,822x = 35,756,540,836
5. Step 5: Solve for x
   x = 35,756,540,836/85,822
6. Step 6: Final answer
   x = 416,636.07