Finding the Third Proportional to 72,780 and 109,272

Step by Step Solution

1. Step 1: Write the proportion equation
   72,780 : 109,272 = 109,272 : x
2. Step 2: Convert to fraction form
   72,780/109,272 = 109,272/x
3. Step 3: Cross multiply
   72,780x = 109,272 × 109,272
4. Step 4: Simplify right side
   72,780x = 11,940,369,984
5. Step 5: Solve for x
   x = 11,940,369,984/72,780
6. Step 6: Final answer
   x = 164,061.14