Finding the Third Proportional to 65,410 and 141,937

Step by Step Solution

1. Step 1: Write the proportion equation
   65,410 : 141,937 = 141,937 : x
2. Step 2: Convert to fraction form
   65,410/141,937 = 141,937/x
3. Step 3: Cross multiply
   65,410x = 141,937 × 141,937
4. Step 4: Simplify right side
   65,410x = 20,146,111,969
5. Step 5: Solve for x
   x = 20,146,111,969/65,410
6. Step 6: Final answer
   x = 307,997.43