Finding the Third Proportional to 180,144 and 259,483.50

Step by Step Solution

1. Step 1: Write the proportion equation
   180,144 : 259,483.50 = 259,483.50 : x
2. Step 2: Convert to fraction form
   180,144/259,483.50 = 259,483.50/x
3. Step 3: Cross multiply
   180,144x = 259,483.50 × 259,483.50
4. Step 4: Simplify right side
   180,144x = 67,331,686,772.25
5. Step 5: Solve for x
   x = 67,331,686,772.25/180,144
6. Step 6: Final answer
   x = 373,765.91