Finding the Third Proportional to 157,968 and 251,106.75

Step by Step Solution

1. Step 1: Write the proportion equation
   157,968 : 251,106.75 = 251,106.75 : x
2. Step 2: Convert to fraction form
   157,968/251,106.75 = 251,106.75/x
3. Step 3: Cross multiply
   157,968x = 251,106.75 × 251,106.75
4. Step 4: Simplify right side
   157,968x = 63,054,599,895.56
5. Step 5: Solve for x
   x = 63,054,599,895.56/157,968
6. Step 6: Final answer
   x = 399,160.59