Finding the Third Proportional to 59,802 and 137,838

Step by Step Solution

1. Step 1: Write the proportion equation
   59,802 : 137,838 = 137,838 : x
2. Step 2: Convert to fraction form
   59,802/137,838 = 137,838/x
3. Step 3: Cross multiply
   59,802x = 137,838 × 137,838
4. Step 4: Simplify right side
   59,802x = 18,999,314,244
5. Step 5: Solve for x
   x = 18,999,314,244/59,802
6. Step 6: Final answer
   x = 317,703.66