Finding the Third Proportional to 82,773.75 and 184,284

Step by Step Solution

1. Step 1: Write the proportion equation
   82,773.75 : 184,284 = 184,284 : x
2. Step 2: Convert to fraction form
   82,773.75/184,284 = 184,284/x
3. Step 3: Cross multiply
   82,773.75x = 184,284 × 184,284
4. Step 4: Simplify right side
   82,773.75x = 33,960,592,656
5. Step 5: Solve for x
   x = 33,960,592,656/82,773.75
6. Step 6: Final answer
   x = 410,282.16