Finding the Third Proportional to 71,526 and 105,098

Step by Step Solution

1. Step 1: Write the proportion equation
   71,526 : 105,098 = 105,098 : x
2. Step 2: Convert to fraction form
   71,526/105,098 = 105,098/x
3. Step 3: Cross multiply
   71,526x = 105,098 × 105,098
4. Step 4: Simplify right side
   71,526x = 11,045,589,604
5. Step 5: Solve for x
   x = 11,045,589,604/71,526
6. Step 6: Final answer
   x = 154,427.62