Finding the Third Proportional to 145,870 and 316,664

Step by Step Solution

1. Step 1: Write the proportion equation
   145,870 : 316,664 = 316,664 : x
2. Step 2: Convert to fraction form
   145,870/316,664 = 316,664/x
3. Step 3: Cross multiply
   145,870x = 316,664 × 316,664
4. Step 4: Simplify right side
   145,870x = 100,276,088,896
5. Step 5: Solve for x
   x = 100,276,088,896/145,870
6. Step 6: Final answer
   x = 687,434.63