Finding the Third Proportional to 231,984 and 341,172

Step by Step Solution

1. Step 1: Write the proportion equation
   231,984 : 341,172 = 341,172 : x
2. Step 2: Convert to fraction form
   231,984/341,172 = 341,172/x
3. Step 3: Cross multiply
   231,984x = 341,172 × 341,172
4. Step 4: Simplify right side
   231,984x = 116,398,333,584
5. Step 5: Solve for x
   x = 116,398,333,584/231,984
6. Step 6: Final answer
   x = 501,751.56