Finding the Third Proportional to 114,985 and 174,421.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,985 : 174,421.50 = 174,421.50 : x
2. Step 2: Convert to fraction form
   114,985/174,421.50 = 174,421.50/x
3. Step 3: Cross multiply
   114,985x = 174,421.50 × 174,421.50
4. Step 4: Simplify right side
   114,985x = 30,422,859,662.25
5. Step 5: Solve for x
   x = 30,422,859,662.25/114,985
6. Step 6: Final answer
   x = 264,581.12