Finding the Third Proportional to 157,968 and 257,910.75

Step by Step Solution

1. Step 1: Write the proportion equation
   157,968 : 257,910.75 = 257,910.75 : x
2. Step 2: Convert to fraction form
   157,968/257,910.75 = 257,910.75/x
3. Step 3: Cross multiply
   157,968x = 257,910.75 × 257,910.75
4. Step 4: Simplify right side
   157,968x = 66,517,954,965.56
5. Step 5: Solve for x
   x = 66,517,954,965.56/157,968
6. Step 6: Final answer
   x = 421,085.00