Finding the Third Proportional to 59,336 and 137,972

Step by Step Solution

1. Step 1: Write the proportion equation
   59,336 : 137,972 = 137,972 : x
2. Step 2: Convert to fraction form
   59,336/137,972 = 137,972/x
3. Step 3: Cross multiply
   59,336x = 137,972 × 137,972
4. Step 4: Simplify right side
   59,336x = 19,036,272,784
5. Step 5: Solve for x
   x = 19,036,272,784/59,336
6. Step 6: Final answer
   x = 320,821.64