Finding the Third Proportional to 141,564 and 309,380

Step by Step Solution

1. Step 1: Write the proportion equation
   141,564 : 309,380 = 309,380 : x
2. Step 2: Convert to fraction form
   141,564/309,380 = 309,380/x
3. Step 3: Cross multiply
   141,564x = 309,380 × 309,380
4. Step 4: Simplify right side
   141,564x = 95,715,984,400
5. Step 5: Solve for x
   x = 95,715,984,400/141,564
6. Step 6: Final answer
   x = 676,132.24