Finding the Third Proportional to 115,002 and 174,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,002 : 174,577.50 = 174,577.50 : x
2. Step 2: Convert to fraction form
   115,002/174,577.50 = 174,577.50/x
3. Step 3: Cross multiply
   115,002x = 174,577.50 × 174,577.50
4. Step 4: Simplify right side
   115,002x = 30,477,303,506.25
5. Step 5: Solve for x
   x = 30,477,303,506.25/115,002
6. Step 6: Final answer
   x = 265,015.42