Finding the Third Proportional to 89,140 and 185,752

Step by Step Solution

1. Step 1: Write the proportion equation
   89,140 : 185,752 = 185,752 : x
2. Step 2: Convert to fraction form
   89,140/185,752 = 185,752/x
3. Step 3: Cross multiply
   89,140x = 185,752 × 185,752
4. Step 4: Simplify right side
   89,140x = 34,503,805,504
5. Step 5: Solve for x
   x = 34,503,805,504/89,140
6. Step 6: Final answer
   x = 387,074.33