Finding the Third Proportional to 75,116.25 and 174,667.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,116.25 : 174,667.50 = 174,667.50 : x
2. Step 2: Convert to fraction form
   75,116.25/174,667.50 = 174,667.50/x
3. Step 3: Cross multiply
   75,116.25x = 174,667.50 × 174,667.50
4. Step 4: Simplify right side
   75,116.25x = 30,508,735,556.25
5. Step 5: Solve for x
   x = 30,508,735,556.25/75,116.25
6. Step 6: Final answer
   x = 406,153.60