Finding the Third Proportional to 200,175 and 311,743.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,175 : 311,743.50 = 311,743.50 : x
2. Step 2: Convert to fraction form
   200,175/311,743.50 = 311,743.50/x
3. Step 3: Cross multiply
   200,175x = 311,743.50 × 311,743.50
4. Step 4: Simplify right side
   200,175x = 97,184,009,792.25
5. Step 5: Solve for x
   x = 97,184,009,792.25/200,175
6. Step 6: Final answer
   x = 485,495.24