Finding the Third Proportional to 75,196.50 and 105,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,196.50 : 105,799.50 = 105,799.50 : x
2. Step 2: Convert to fraction form
   75,196.50/105,799.50 = 105,799.50/x
3. Step 3: Cross multiply
   75,196.50x = 105,799.50 × 105,799.50
4. Step 4: Simplify right side
   75,196.50x = 11,193,534,200.25
5. Step 5: Solve for x
   x = 11,193,534,200.25/75,196.50
6. Step 6: Final answer
   x = 148,857.12