Finding the Third Proportional to 61,011 and 142,536

Step by Step Solution

1. Step 1: Write the proportion equation
   61,011 : 142,536 = 142,536 : x
2. Step 2: Convert to fraction form
   61,011/142,536 = 142,536/x
3. Step 3: Cross multiply
   61,011x = 142,536 × 142,536
4. Step 4: Simplify right side
   61,011x = 20,316,511,296
5. Step 5: Solve for x
   x = 20,316,511,296/61,011
6. Step 6: Final answer
   x = 332,997.51