Finding the Third Proportional to 115,700 and 174,783

Step by Step Solution

1. Step 1: Write the proportion equation
   115,700 : 174,783 = 174,783 : x
2. Step 2: Convert to fraction form
   115,700/174,783 = 174,783/x
3. Step 3: Cross multiply
   115,700x = 174,783 × 174,783
4. Step 4: Simplify right side
   115,700x = 30,549,097,089
5. Step 5: Solve for x
   x = 30,549,097,089/115,700
6. Step 6: Final answer
   x = 264,037.14