Finding the Third Proportional to 61,012 and 142,538

Step by Step Solution

1. Step 1: Write the proportion equation
   61,012 : 142,538 = 142,538 : x
2. Step 2: Convert to fraction form
   61,012/142,538 = 142,538/x
3. Step 3: Cross multiply
   61,012x = 142,538 × 142,538
4. Step 4: Simplify right side
   61,012x = 20,317,081,444
5. Step 5: Solve for x
   x = 20,317,081,444/61,012
6. Step 6: Final answer
   x = 333,001.40