Finding the Third Proportional to 65,641 and 144,047

Step by Step Solution

1. Step 1: Write the proportion equation
   65,641 : 144,047 = 144,047 : x
2. Step 2: Convert to fraction form
   65,641/144,047 = 144,047/x
3. Step 3: Cross multiply
   65,641x = 144,047 × 144,047
4. Step 4: Simplify right side
   65,641x = 20,749,538,209
5. Step 5: Solve for x
   x = 20,749,538,209/65,641
6. Step 6: Final answer
   x = 316,106.37