Finding the Third Proportional to 114,709.50 and 174,980.25

Step by Step Solution

1. Step 1: Write the proportion equation
   114,709.50 : 174,980.25 = 174,980.25 : x
2. Step 2: Convert to fraction form
   114,709.50/174,980.25 = 174,980.25/x
3. Step 3: Cross multiply
   114,709.50x = 174,980.25 × 174,980.25
4. Step 4: Simplify right side
   114,709.50x = 30,618,087,890.06
5. Step 5: Solve for x
   x = 30,618,087,890.06/114,709.50
6. Step 6: Final answer
   x = 266,918.50