Finding the Third Proportional to 81,120 and 188,464

Step by Step Solution

1. Step 1: Write the proportion equation
   81,120 : 188,464 = 188,464 : x
2. Step 2: Convert to fraction form
   81,120/188,464 = 188,464/x
3. Step 3: Cross multiply
   81,120x = 188,464 × 188,464
4. Step 4: Simplify right side
   81,120x = 35,518,679,296
5. Step 5: Solve for x
   x = 35,518,679,296/81,120
6. Step 6: Final answer
   x = 437,853.54