Finding the Third Proportional to 67,833 and 147,342

Step by Step Solution

1. Step 1: Write the proportion equation
   67,833 : 147,342 = 147,342 : x
2. Step 2: Convert to fraction form
   67,833/147,342 = 147,342/x
3. Step 3: Cross multiply
   67,833x = 147,342 × 147,342
4. Step 4: Simplify right side
   67,833x = 21,709,664,964
5. Step 5: Solve for x
   x = 21,709,664,964/67,833
6. Step 6: Final answer
   x = 320,045.77