Finding the Third Proportional to 251,509 and 392,572.50

Step by Step Solution

1. Step 1: Write the proportion equation
   251,509 : 392,572.50 = 392,572.50 : x
2. Step 2: Convert to fraction form
   251,509/392,572.50 = 392,572.50/x
3. Step 3: Cross multiply
   251,509x = 392,572.50 × 392,572.50
4. Step 4: Simplify right side
   251,509x = 154,113,167,756.25
5. Step 5: Solve for x
   x = 154,113,167,756.25/251,509
6. Step 6: Final answer
   x = 612,754.09