Finding the Third Proportional to 88,322 and 186,024

Step by Step Solution

1. Step 1: Write the proportion equation
   88,322 : 186,024 = 186,024 : x
2. Step 2: Convert to fraction form
   88,322/186,024 = 186,024/x
3. Step 3: Cross multiply
   88,322x = 186,024 × 186,024
4. Step 4: Simplify right side
   88,322x = 34,604,928,576
5. Step 5: Solve for x
   x = 34,604,928,576/88,322
6. Step 6: Final answer
   x = 391,804.18