Finding the Third Proportional to 140,307 and 298,143

Step by Step Solution

1. Step 1: Write the proportion equation
   140,307 : 298,143 = 298,143 : x
2. Step 2: Convert to fraction form
   140,307/298,143 = 298,143/x
3. Step 3: Cross multiply
   140,307x = 298,143 × 298,143
4. Step 4: Simplify right side
   140,307x = 88,889,248,449
5. Step 5: Solve for x
   x = 88,889,248,449/140,307
6. Step 6: Final answer
   x = 633,533.95