Finding the Third Proportional to 116,714 and 185,277

Step by Step Solution

1. Step 1: Write the proportion equation
   116,714 : 185,277 = 185,277 : x
2. Step 2: Convert to fraction form
   116,714/185,277 = 185,277/x
3. Step 3: Cross multiply
   116,714x = 185,277 × 185,277
4. Step 4: Simplify right side
   116,714x = 34,327,566,729
5. Step 5: Solve for x
   x = 34,327,566,729/116,714
6. Step 6: Final answer
   x = 294,116.96