Finding the Third Proportional to 78,327 and 184,994

Step by Step Solution

1. Step 1: Write the proportion equation
   78,327 : 184,994 = 184,994 : x
2. Step 2: Convert to fraction form
   78,327/184,994 = 184,994/x
3. Step 3: Cross multiply
   78,327x = 184,994 × 184,994
4. Step 4: Simplify right side
   78,327x = 34,222,780,036
5. Step 5: Solve for x
   x = 34,222,780,036/78,327
6. Step 6: Final answer
   x = 436,921.88