Finding the Third Proportional to 68,824 and 105,210

Step by Step Solution

1. Step 1: Write the proportion equation
   68,824 : 105,210 = 105,210 : x
2. Step 2: Convert to fraction form
   68,824/105,210 = 105,210/x
3. Step 3: Cross multiply
   68,824x = 105,210 × 105,210
4. Step 4: Simplify right side
   68,824x = 11,069,144,100
5. Step 5: Solve for x
   x = 11,069,144,100/68,824
6. Step 6: Final answer
   x = 160,832.62