Finding the Third Proportional to 116,290 and 184,458

Step by Step Solution

1. Step 1: Write the proportion equation
   116,290 : 184,458 = 184,458 : x
2. Step 2: Convert to fraction form
   116,290/184,458 = 184,458/x
3. Step 3: Cross multiply
   116,290x = 184,458 × 184,458
4. Step 4: Simplify right side
   116,290x = 34,024,753,764
5. Step 5: Solve for x
   x = 34,024,753,764/116,290
6. Step 6: Final answer
   x = 292,585.38