Finding the Third Proportional to 65,341 and 141,746

Step by Step Solution

1. Step 1: Write the proportion equation
   65,341 : 141,746 = 141,746 : x
2. Step 2: Convert to fraction form
   65,341/141,746 = 141,746/x
3. Step 3: Cross multiply
   65,341x = 141,746 × 141,746
4. Step 4: Simplify right side
   65,341x = 20,091,928,516
5. Step 5: Solve for x
   x = 20,091,928,516/65,341
6. Step 6: Final answer
   x = 307,493.43