Finding the Third Proportional to 117,477 and 175,702.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,477 : 175,702.50 = 175,702.50 : x
2. Step 2: Convert to fraction form
   117,477/175,702.50 = 175,702.50/x
3. Step 3: Cross multiply
   117,477x = 175,702.50 × 175,702.50
4. Step 4: Simplify right side
   117,477x = 30,871,368,506.25
5. Step 5: Solve for x
   x = 30,871,368,506.25/117,477
6. Step 6: Final answer
   x = 262,786.49