Finding the Third Proportional to 88,524 and 184,488

Step by Step Solution

1. Step 1: Write the proportion equation
   88,524 : 184,488 = 184,488 : x
2. Step 2: Convert to fraction form
   88,524/184,488 = 184,488/x
3. Step 3: Cross multiply
   88,524x = 184,488 × 184,488
4. Step 4: Simplify right side
   88,524x = 34,035,822,144
5. Step 5: Solve for x
   x = 34,035,822,144/88,524
6. Step 6: Final answer
   x = 384,481.29