Finding the Third Proportional to 258,633 and 370,264.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,633 : 370,264.50 = 370,264.50 : x
2. Step 2: Convert to fraction form
   258,633/370,264.50 = 370,264.50/x
3. Step 3: Cross multiply
   258,633x = 370,264.50 × 370,264.50
4. Step 4: Simplify right side
   258,633x = 137,095,799,960.25
5. Step 5: Solve for x
   x = 137,095,799,960.25/258,633
6. Step 6: Final answer
   x = 530,078.53