Finding the Third Proportional to 113,577 and 175,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,577 : 175,684.50 = 175,684.50 : x
2. Step 2: Convert to fraction form
   113,577/175,684.50 = 175,684.50/x
3. Step 3: Cross multiply
   113,577x = 175,684.50 × 175,684.50
4. Step 4: Simplify right side
   113,577x = 30,865,043,540.25
5. Step 5: Solve for x
   x = 30,865,043,540.25/113,577
6. Step 6: Final answer
   x = 271,754.35