Finding the Third Proportional to 116,405 and 184,631

Step by Step Solution

1. Step 1: Write the proportion equation
   116,405 : 184,631 = 184,631 : x
2. Step 2: Convert to fraction form
   116,405/184,631 = 184,631/x
3. Step 3: Cross multiply
   116,405x = 184,631 × 184,631
4. Step 4: Simplify right side
   116,405x = 34,088,606,161
5. Step 5: Solve for x
   x = 34,088,606,161/116,405
6. Step 6: Final answer
   x = 292,844.86