Finding the Third Proportional to 117,002.25 and 185,967.75

Step by Step Solution

1. Step 1: Write the proportion equation
   117,002.25 : 185,967.75 = 185,967.75 : x
2. Step 2: Convert to fraction form
   117,002.25/185,967.75 = 185,967.75/x
3. Step 3: Cross multiply
   117,002.25x = 185,967.75 × 185,967.75
4. Step 4: Simplify right side
   117,002.25x = 34,584,004,040.06
5. Step 5: Solve for x
   x = 34,584,004,040.06/117,002.25
6. Step 6: Final answer
   x = 295,584.09