Finding the Third Proportional to 71,280 and 105,813

Step by Step Solution

1. Step 1: Write the proportion equation
   71,280 : 105,813 = 105,813 : x
2. Step 2: Convert to fraction form
   71,280/105,813 = 105,813/x
3. Step 3: Cross multiply
   71,280x = 105,813 × 105,813
4. Step 4: Simplify right side
   71,280x = 11,196,390,969
5. Step 5: Solve for x
   x = 11,196,390,969/71,280
6. Step 6: Final answer
   x = 157,076.19