Finding the Third Proportional to 75,518 and 105,858.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,518 : 105,858.50 = 105,858.50 : x
2. Step 2: Convert to fraction form
   75,518/105,858.50 = 105,858.50/x
3. Step 3: Cross multiply
   75,518x = 105,858.50 × 105,858.50
4. Step 4: Simplify right side
   75,518x = 11,206,022,022.25
5. Step 5: Solve for x
   x = 11,206,022,022.25/75,518
6. Step 6: Final answer
   x = 148,388.76