Finding the Third Proportional to 72,788 and 109,284

Step by Step Solution

1. Step 1: Write the proportion equation
   72,788 : 109,284 = 109,284 : x
2. Step 2: Convert to fraction form
   72,788/109,284 = 109,284/x
3. Step 3: Cross multiply
   72,788x = 109,284 × 109,284
4. Step 4: Simplify right side
   72,788x = 11,942,992,656
5. Step 5: Solve for x
   x = 11,942,992,656/72,788
6. Step 6: Final answer
   x = 164,079.14