Finding the Third Proportional to 65,772 and 142,054.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,772 : 142,054.50 = 142,054.50 : x
2. Step 2: Convert to fraction form
   65,772/142,054.50 = 142,054.50/x
3. Step 3: Cross multiply
   65,772x = 142,054.50 × 142,054.50
4. Step 4: Simplify right side
   65,772x = 20,179,480,970.25
5. Step 5: Solve for x
   x = 20,179,480,970.25/65,772
6. Step 6: Final answer
   x = 306,809.60