Finding the Third Proportional to 71,991 and 107,236.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,991 : 107,236.50 = 107,236.50 : x
2. Step 2: Convert to fraction form
   71,991/107,236.50 = 107,236.50/x
3. Step 3: Cross multiply
   71,991x = 107,236.50 × 107,236.50
4. Step 4: Simplify right side
   71,991x = 11,499,666,932.25
5. Step 5: Solve for x
   x = 11,499,666,932.25/71,991
6. Step 6: Final answer
   x = 159,737.56