Finding the Third Proportional to 105,059.50 and 157,697

Step by Step Solution

1. Step 1: Write the proportion equation
   105,059.50 : 157,697 = 157,697 : x
2. Step 2: Convert to fraction form
   105,059.50/157,697 = 157,697/x
3. Step 3: Cross multiply
   105,059.50x = 157,697 × 157,697
4. Step 4: Simplify right side
   105,059.50x = 24,868,343,809
5. Step 5: Solve for x
   x = 24,868,343,809/105,059.50
6. Step 6: Final answer
   x = 236,707.24