Finding the Third Proportional to 144,178 and 316,423

Step by Step Solution

1. Step 1: Write the proportion equation
   144,178 : 316,423 = 316,423 : x
2. Step 2: Convert to fraction form
   144,178/316,423 = 316,423/x
3. Step 3: Cross multiply
   144,178x = 316,423 × 316,423
4. Step 4: Simplify right side
   144,178x = 100,123,514,929
5. Step 5: Solve for x
   x = 100,123,514,929/144,178
6. Step 6: Final answer
   x = 694,443.78