Finding the Third Proportional to 69,688 and 105,180

Step by Step Solution

1. Step 1: Write the proportion equation
   69,688 : 105,180 = 105,180 : x
2. Step 2: Convert to fraction form
   69,688/105,180 = 105,180/x
3. Step 3: Cross multiply
   69,688x = 105,180 × 105,180
4. Step 4: Simplify right side
   69,688x = 11,062,832,400
5. Step 5: Solve for x
   x = 11,062,832,400/69,688
6. Step 6: Final answer
   x = 158,748.03