Finding the Third Proportional to 259,201 and 370,657.50

Step by Step Solution

1. Step 1: Write the proportion equation
   259,201 : 370,657.50 = 370,657.50 : x
2. Step 2: Convert to fraction form
   259,201/370,657.50 = 370,657.50/x
3. Step 3: Cross multiply
   259,201x = 370,657.50 × 370,657.50
4. Step 4: Simplify right side
   259,201x = 137,386,982,306.25
5. Step 5: Solve for x
   x = 137,386,982,306.25/259,201
6. Step 6: Final answer
   x = 530,040.33