Finding the Third Proportional to 117,099 and 174,352.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,099 : 174,352.50 = 174,352.50 : x
2. Step 2: Convert to fraction form
   117,099/174,352.50 = 174,352.50/x
3. Step 3: Cross multiply
   117,099x = 174,352.50 × 174,352.50
4. Step 4: Simplify right side
   117,099x = 30,398,794,256.25
5. Step 5: Solve for x
   x = 30,398,794,256.25/117,099
6. Step 6: Final answer
   x = 259,599.09