Finding the Third Proportional to 69,302 and 105,411

Step by Step Solution

1. Step 1: Write the proportion equation
   69,302 : 105,411 = 105,411 : x
2. Step 2: Convert to fraction form
   69,302/105,411 = 105,411/x
3. Step 3: Cross multiply
   69,302x = 105,411 × 105,411
4. Step 4: Simplify right side
   69,302x = 11,111,478,921
5. Step 5: Solve for x
   x = 11,111,478,921/69,302
6. Step 6: Final answer
   x = 160,334.17