Finding the Third Proportional to 105,097.50 and 157,275

Step by Step Solution

1. Step 1: Write the proportion equation
   105,097.50 : 157,275 = 157,275 : x
2. Step 2: Convert to fraction form
   105,097.50/157,275 = 157,275/x
3. Step 3: Cross multiply
   105,097.50x = 157,275 × 157,275
4. Step 4: Simplify right side
   105,097.50x = 24,735,425,625
5. Step 5: Solve for x
   x = 24,735,425,625/105,097.50
6. Step 6: Final answer
   x = 235,356.94