Finding the Third Proportional to 116,577 and 174,865.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,577 : 174,865.50 = 174,865.50 : x
2. Step 2: Convert to fraction form
   116,577/174,865.50 = 174,865.50/x
3. Step 3: Cross multiply
   116,577x = 174,865.50 × 174,865.50
4. Step 4: Simplify right side
   116,577x = 30,577,943,090.25
5. Step 5: Solve for x
   x = 30,577,943,090.25/116,577
6. Step 6: Final answer
   x = 262,298.25