Finding the Third Proportional to 117,006 and 181,506

Step by Step Solution

1. Step 1: Write the proportion equation
   117,006 : 181,506 = 181,506 : x
2. Step 2: Convert to fraction form
   117,006/181,506 = 181,506/x
3. Step 3: Cross multiply
   117,006x = 181,506 × 181,506
4. Step 4: Simplify right side
   117,006x = 32,944,428,036
5. Step 5: Solve for x
   x = 32,944,428,036/117,006
6. Step 6: Final answer
   x = 281,561.87