Finding the Third Proportional to 69,160 and 109,788

Step by Step Solution

1. Step 1: Write the proportion equation
   69,160 : 109,788 = 109,788 : x
2. Step 2: Convert to fraction form
   69,160/109,788 = 109,788/x
3. Step 3: Cross multiply
   69,160x = 109,788 × 109,788
4. Step 4: Simplify right side
   69,160x = 12,053,404,944
5. Step 5: Solve for x
   x = 12,053,404,944/69,160
6. Step 6: Final answer
   x = 174,282.89