Finding the Third Proportional to 88,938 and 185,166

Step by Step Solution

1. Step 1: Write the proportion equation
   88,938 : 185,166 = 185,166 : x
2. Step 2: Convert to fraction form
   88,938/185,166 = 185,166/x
3. Step 3: Cross multiply
   88,938x = 185,166 × 185,166
4. Step 4: Simplify right side
   88,938x = 34,286,447,556
5. Step 5: Solve for x
   x = 34,286,447,556/88,938
6. Step 6: Final answer
   x = 385,509.54