Finding the Third Proportional to 105,234 and 148,019

Step by Step Solution

1. Step 1: Write the proportion equation
   105,234 : 148,019 = 148,019 : x
2. Step 2: Convert to fraction form
   105,234/148,019 = 148,019/x
3. Step 3: Cross multiply
   105,234x = 148,019 × 148,019
4. Step 4: Simplify right side
   105,234x = 21,909,624,361
5. Step 5: Solve for x
   x = 21,909,624,361/105,234
6. Step 6: Final answer
   x = 208,199.10