Finding the Third Proportional to 117,698.50 and 174,258.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,698.50 : 174,258.50 = 174,258.50 : x
2. Step 2: Convert to fraction form
   117,698.50/174,258.50 = 174,258.50/x
3. Step 3: Cross multiply
   117,698.50x = 174,258.50 × 174,258.50
4. Step 4: Simplify right side
   117,698.50x = 30,366,024,822.25
5. Step 5: Solve for x
   x = 30,366,024,822.25/117,698.50
6. Step 6: Final answer
   x = 257,998.40