Finding the Third Proportional to 83,688 and 184,352

Step by Step Solution

1. Step 1: Write the proportion equation
   83,688 : 184,352 = 184,352 : x
2. Step 2: Convert to fraction form
   83,688/184,352 = 184,352/x
3. Step 3: Cross multiply
   83,688x = 184,352 × 184,352
4. Step 4: Simplify right side
   83,688x = 33,985,659,904
5. Step 5: Solve for x
   x = 33,985,659,904/83,688
6. Step 6: Final answer
   x = 406,099.56