Finding the Third Proportional to 77,946 and 111,469

Step by Step Solution

1. Step 1: Write the proportion equation
   77,946 : 111,469 = 111,469 : x
2. Step 2: Convert to fraction form
   77,946/111,469 = 111,469/x
3. Step 3: Cross multiply
   77,946x = 111,469 × 111,469
4. Step 4: Simplify right side
   77,946x = 12,425,337,961
5. Step 5: Solve for x
   x = 12,425,337,961/77,946
6. Step 6: Final answer
   x = 159,409.57