Finding the Third Proportional to 105,008 and 157,470

Step by Step Solution

1. Step 1: Write the proportion equation
   105,008 : 157,470 = 157,470 : x
2. Step 2: Convert to fraction form
   105,008/157,470 = 157,470/x
3. Step 3: Cross multiply
   105,008x = 157,470 × 157,470
4. Step 4: Simplify right side
   105,008x = 24,796,800,900
5. Step 5: Solve for x
   x = 24,796,800,900/105,008
6. Step 6: Final answer
   x = 236,142.02