Finding the Third Proportional to 94,606 and 142,307

Step by Step Solution

1. Step 1: Write the proportion equation
   94,606 : 142,307 = 142,307 : x
2. Step 2: Convert to fraction form
   94,606/142,307 = 142,307/x
3. Step 3: Cross multiply
   94,606x = 142,307 × 142,307
4. Step 4: Simplify right side
   94,606x = 20,251,282,249
5. Step 5: Solve for x
   x = 20,251,282,249/94,606
6. Step 6: Final answer
   x = 214,059.17