Finding the Third Proportional to 184,810 and 294,164

Step by Step Solution

1. Step 1: Write the proportion equation
   184,810 : 294,164 = 294,164 : x
2. Step 2: Convert to fraction form
   184,810/294,164 = 294,164/x
3. Step 3: Cross multiply
   184,810x = 294,164 × 294,164
4. Step 4: Simplify right side
   184,810x = 86,532,458,896
5. Step 5: Solve for x
   x = 86,532,458,896/184,810
6. Step 6: Final answer
   x = 468,223.90