Finding the Third Proportional to 75,857.50 and 109,268

Step by Step Solution

1. Step 1: Write the proportion equation
   75,857.50 : 109,268 = 109,268 : x
2. Step 2: Convert to fraction form
   75,857.50/109,268 = 109,268/x
3. Step 3: Cross multiply
   75,857.50x = 109,268 × 109,268
4. Step 4: Simplify right side
   75,857.50x = 11,939,495,824
5. Step 5: Solve for x
   x = 11,939,495,824/75,857.50
6. Step 6: Final answer
   x = 157,393.74