Finding the Third Proportional to 61,026 and 142,575

Step by Step Solution

1. Step 1: Write the proportion equation
   61,026 : 142,575 = 142,575 : x
2. Step 2: Convert to fraction form
   61,026/142,575 = 142,575/x
3. Step 3: Cross multiply
   61,026x = 142,575 × 142,575
4. Step 4: Simplify right side
   61,026x = 20,327,630,625
5. Step 5: Solve for x
   x = 20,327,630,625/61,026
6. Step 6: Final answer
   x = 333,097.87