Finding the Third Proportional to 117,209 and 181,605

Step by Step Solution

1. Step 1: Write the proportion equation
   117,209 : 181,605 = 181,605 : x
2. Step 2: Convert to fraction form
   117,209/181,605 = 181,605/x
3. Step 3: Cross multiply
   117,209x = 181,605 × 181,605
4. Step 4: Simplify right side
   117,209x = 32,980,376,025
5. Step 5: Solve for x
   x = 32,980,376,025/117,209
6. Step 6: Final answer
   x = 281,380.92