Finding the Third Proportional to 184,320 and 293,984

Step by Step Solution

1. Step 1: Write the proportion equation
   184,320 : 293,984 = 293,984 : x
2. Step 2: Convert to fraction form
   184,320/293,984 = 293,984/x
3. Step 3: Cross multiply
   184,320x = 293,984 × 293,984
4. Step 4: Simplify right side
   184,320x = 86,426,592,256
5. Step 5: Solve for x
   x = 86,426,592,256/184,320
6. Step 6: Final answer
   x = 468,894.27