Finding the Third Proportional to 89,244 and 185,880

Step by Step Solution

1. Step 1: Write the proportion equation
   89,244 : 185,880 = 185,880 : x
2. Step 2: Convert to fraction form
   89,244/185,880 = 185,880/x
3. Step 3: Cross multiply
   89,244x = 185,880 × 185,880
4. Step 4: Simplify right side
   89,244x = 34,551,374,400
5. Step 5: Solve for x
   x = 34,551,374,400/89,244
6. Step 6: Final answer
   x = 387,156.27