Finding the Third Proportional to 131,974.50 and 287,764.50

Step by Step Solution

1. Step 1: Write the proportion equation
   131,974.50 : 287,764.50 = 287,764.50 : x
2. Step 2: Convert to fraction form
   131,974.50/287,764.50 = 287,764.50/x
3. Step 3: Cross multiply
   131,974.50x = 287,764.50 × 287,764.50
4. Step 4: Simplify right side
   131,974.50x = 82,808,407,460.25
5. Step 5: Solve for x
   x = 82,808,407,460.25/131,974.50
6. Step 6: Final answer
   x = 627,457.63