Finding the Third Proportional to 89,144 and 184,594

Step by Step Solution

1. Step 1: Write the proportion equation
   89,144 : 184,594 = 184,594 : x
2. Step 2: Convert to fraction form
   89,144/184,594 = 184,594/x
3. Step 3: Cross multiply
   89,144x = 184,594 × 184,594
4. Step 4: Simplify right side
   89,144x = 34,074,944,836
5. Step 5: Solve for x
   x = 34,074,944,836/89,144
6. Step 6: Final answer
   x = 382,246.08