Finding the Third Proportional to 117,156 and 181,566

Step by Step Solution

1. Step 1: Write the proportion equation
   117,156 : 181,566 = 181,566 : x
2. Step 2: Convert to fraction form
   117,156/181,566 = 181,566/x
3. Step 3: Cross multiply
   117,156x = 181,566 × 181,566
4. Step 4: Simplify right side
   117,156x = 32,966,212,356
5. Step 5: Solve for x
   x = 32,966,212,356/117,156
6. Step 6: Final answer
   x = 281,387.32