Finding the Third Proportional to 116,711 and 185,274

Step by Step Solution

1. Step 1: Write the proportion equation
   116,711 : 185,274 = 185,274 : x
2. Step 2: Convert to fraction form
   116,711/185,274 = 185,274/x
3. Step 3: Cross multiply
   116,711x = 185,274 × 185,274
4. Step 4: Simplify right side
   116,711x = 34,326,455,076
5. Step 5: Solve for x
   x = 34,326,455,076/116,711
6. Step 6: Final answer
   x = 294,114.99