Finding the Third Proportional to 141,174 and 309,984

Step by Step Solution

1. Step 1: Write the proportion equation
   141,174 : 309,984 = 309,984 : x
2. Step 2: Convert to fraction form
   141,174/309,984 = 309,984/x
3. Step 3: Cross multiply
   141,174x = 309,984 × 309,984
4. Step 4: Simplify right side
   141,174x = 96,090,080,256
5. Step 5: Solve for x
   x = 96,090,080,256/141,174
6. Step 6: Final answer
   x = 680,649.98