Finding the Third Proportional to 85,190 and 181,308

Step by Step Solution

1. Step 1: Write the proportion equation
   85,190 : 181,308 = 181,308 : x
2. Step 2: Convert to fraction form
   85,190/181,308 = 181,308/x
3. Step 3: Cross multiply
   85,190x = 181,308 × 181,308
4. Step 4: Simplify right side
   85,190x = 32,872,590,864
5. Step 5: Solve for x
   x = 32,872,590,864/85,190
6. Step 6: Final answer
   x = 385,873.82