Finding the Third Proportional to 117,909 and 182,715.75

Step by Step Solution

1. Step 1: Write the proportion equation
   117,909 : 182,715.75 = 182,715.75 : x
2. Step 2: Convert to fraction form
   117,909/182,715.75 = 182,715.75/x
3. Step 3: Cross multiply
   117,909x = 182,715.75 × 182,715.75
4. Step 4: Simplify right side
   117,909x = 33,385,045,298.06
5. Step 5: Solve for x
   x = 33,385,045,298.06/117,909
6. Step 6: Final answer
   x = 283,142.47