Finding the Third Proportional to 86,496 and 184,152

Step by Step Solution

1. Step 1: Write the proportion equation
   86,496 : 184,152 = 184,152 : x
2. Step 2: Convert to fraction form
   86,496/184,152 = 184,152/x
3. Step 3: Cross multiply
   86,496x = 184,152 × 184,152
4. Step 4: Simplify right side
   86,496x = 33,911,959,104
5. Step 5: Solve for x
   x = 33,911,959,104/86,496
6. Step 6: Final answer
   x = 392,063.90