Finding the Third Proportional to 85,186 and 181,300

Step by Step Solution

1. Step 1: Write the proportion equation
   85,186 : 181,300 = 181,300 : x
2. Step 2: Convert to fraction form
   85,186/181,300 = 181,300/x
3. Step 3: Cross multiply
   85,186x = 181,300 × 181,300
4. Step 4: Simplify right side
   85,186x = 32,869,690,000
5. Step 5: Solve for x
   x = 32,869,690,000/85,186
6. Step 6: Final answer
   x = 385,857.89