Finding the Third Proportional to 116,460 and 184,706

Step by Step Solution

1. Step 1: Write the proportion equation
   116,460 : 184,706 = 184,706 : x
2. Step 2: Convert to fraction form
   116,460/184,706 = 184,706/x
3. Step 3: Cross multiply
   116,460x = 184,706 × 184,706
4. Step 4: Simplify right side
   116,460x = 34,116,306,436
5. Step 5: Solve for x
   x = 34,116,306,436/116,460
6. Step 6: Final answer
   x = 292,944.41