Finding the Third Proportional to 83,344 and 185,120

Step by Step Solution

1. Step 1: Write the proportion equation
   83,344 : 185,120 = 185,120 : x
2. Step 2: Convert to fraction form
   83,344/185,120 = 185,120/x
3. Step 3: Cross multiply
   83,344x = 185,120 × 185,120
4. Step 4: Simplify right side
   83,344x = 34,269,414,400
5. Step 5: Solve for x
   x = 34,269,414,400/83,344
6. Step 6: Final answer
   x = 411,180.34