Finding the Third Proportional to 159,456 and 216,652.50

Step by Step Solution

1. Step 1: Write the proportion equation
   159,456 : 216,652.50 = 216,652.50 : x
2. Step 2: Convert to fraction form
   159,456/216,652.50 = 216,652.50/x
3. Step 3: Cross multiply
   159,456x = 216,652.50 × 216,652.50
4. Step 4: Simplify right side
   159,456x = 46,938,305,756.25
5. Step 5: Solve for x
   x = 46,938,305,756.25/159,456
6. Step 6: Final answer
   x = 294,365.25