Finding the Third Proportional to 75,871.50 and 109,296

Step by Step Solution

1. Step 1: Write the proportion equation
   75,871.50 : 109,296 = 109,296 : x
2. Step 2: Convert to fraction form
   75,871.50/109,296 = 109,296/x
3. Step 3: Cross multiply
   75,871.50x = 109,296 × 109,296
4. Step 4: Simplify right side
   75,871.50x = 11,945,615,616
5. Step 5: Solve for x
   x = 11,945,615,616/75,871.50
6. Step 6: Final answer
   x = 157,445.36