Finding the Third Proportional to 144,762 and 316,314

Step by Step Solution

1. Step 1: Write the proportion equation
   144,762 : 316,314 = 316,314 : x
2. Step 2: Convert to fraction form
   144,762/316,314 = 316,314/x
3. Step 3: Cross multiply
   144,762x = 316,314 × 316,314
4. Step 4: Simplify right side
   144,762x = 100,054,546,596
5. Step 5: Solve for x
   x = 100,054,546,596/144,762
6. Step 6: Final answer
   x = 691,165.82