Finding the Third Proportional to 65,732 and 141,784

Step by Step Solution

1. Step 1: Write the proportion equation
   65,732 : 141,784 = 141,784 : x
2. Step 2: Convert to fraction form
   65,732/141,784 = 141,784/x
3. Step 3: Cross multiply
   65,732x = 141,784 × 141,784
4. Step 4: Simplify right side
   65,732x = 20,102,702,656
5. Step 5: Solve for x
   x = 20,102,702,656/65,732
6. Step 6: Final answer
   x = 305,828.25