Finding the Third Proportional to 117,568.50 and 171,427.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,568.50 : 171,427.50 = 171,427.50 : x
2. Step 2: Convert to fraction form
   117,568.50/171,427.50 = 171,427.50/x
3. Step 3: Cross multiply
   117,568.50x = 171,427.50 × 171,427.50
4. Step 4: Simplify right side
   117,568.50x = 29,387,387,756.25
5. Step 5: Solve for x
   x = 29,387,387,756.25/117,568.50
6. Step 6: Final answer
   x = 249,959.71