Finding the Third Proportional to 81,150 and 174,783

Step by Step Solution

1. Step 1: Write the proportion equation
   81,150 : 174,783 = 174,783 : x
2. Step 2: Convert to fraction form
   81,150/174,783 = 174,783/x
3. Step 3: Cross multiply
   81,150x = 174,783 × 174,783
4. Step 4: Simplify right side
   81,150x = 30,549,097,089
5. Step 5: Solve for x
   x = 30,549,097,089/81,150
6. Step 6: Final answer
   x = 376,452.21