Finding the Third Proportional to 77,172 and 169,116

Step by Step Solution

1. Step 1: Write the proportion equation
   77,172 : 169,116 = 169,116 : x
2. Step 2: Convert to fraction form
   77,172/169,116 = 169,116/x
3. Step 3: Cross multiply
   77,172x = 169,116 × 169,116
4. Step 4: Simplify right side
   77,172x = 28,600,221,456
5. Step 5: Solve for x
   x = 28,600,221,456/77,172
6. Step 6: Final answer
   x = 370,603.61