Finding the Third Proportional to 75,926 and 105,280

Step by Step Solution

1. Step 1: Write the proportion equation
   75,926 : 105,280 = 105,280 : x
2. Step 2: Convert to fraction form
   75,926/105,280 = 105,280/x
3. Step 3: Cross multiply
   75,926x = 105,280 × 105,280
4. Step 4: Simplify right side
   75,926x = 11,083,878,400
5. Step 5: Solve for x
   x = 11,083,878,400/75,926
6. Step 6: Final answer
   x = 145,982.65