Finding the Third Proportional to 85,010 and 181,588

Step by Step Solution

1. Step 1: Write the proportion equation
   85,010 : 181,588 = 181,588 : x
2. Step 2: Convert to fraction form
   85,010/181,588 = 181,588/x
3. Step 3: Cross multiply
   85,010x = 181,588 × 181,588
4. Step 4: Simplify right side
   85,010x = 32,974,201,744
5. Step 5: Solve for x
   x = 32,974,201,744/85,010
6. Step 6: Final answer
   x = 387,886.15