Finding the Third Proportional to 115,675.50 and 174,972

Step by Step Solution

1. Step 1: Write the proportion equation
   115,675.50 : 174,972 = 174,972 : x
2. Step 2: Convert to fraction form
   115,675.50/174,972 = 174,972/x
3. Step 3: Cross multiply
   115,675.50x = 174,972 × 174,972
4. Step 4: Simplify right side
   115,675.50x = 30,615,200,784
5. Step 5: Solve for x
   x = 30,615,200,784/115,675.50
6. Step 6: Final answer
   x = 264,664.52