Finding the Third Proportional to 116,764 and 184,920

Step by Step Solution

1. Step 1: Write the proportion equation
   116,764 : 184,920 = 184,920 : x
2. Step 2: Convert to fraction form
   116,764/184,920 = 184,920/x
3. Step 3: Cross multiply
   116,764x = 184,920 × 184,920
4. Step 4: Simplify right side
   116,764x = 34,195,406,400
5. Step 5: Solve for x
   x = 34,195,406,400/116,764
6. Step 6: Final answer
   x = 292,859.16