Finding the Third Proportional to 116,709 and 185,271

Step by Step Solution

1. Step 1: Write the proportion equation
   116,709 : 185,271 = 185,271 : x
2. Step 2: Convert to fraction form
   116,709/185,271 = 185,271/x
3. Step 3: Cross multiply
   116,709x = 185,271 × 185,271
4. Step 4: Simplify right side
   116,709x = 34,325,343,441
5. Step 5: Solve for x
   x = 34,325,343,441/116,709
6. Step 6: Final answer
   x = 294,110.51