Finding the Third Proportional to 116,704 and 185,262

Step by Step Solution

1. Step 1: Write the proportion equation
   116,704 : 185,262 = 185,262 : x
2. Step 2: Convert to fraction form
   116,704/185,262 = 185,262/x
3. Step 3: Cross multiply
   116,704x = 185,262 × 185,262
4. Step 4: Simplify right side
   116,704x = 34,322,008,644
5. Step 5: Solve for x
   x = 34,322,008,644/116,704
6. Step 6: Final answer
   x = 294,094.54