Finding the Third Proportional to 77,160 and 169,144

Step by Step Solution

1. Step 1: Write the proportion equation
   77,160 : 169,144 = 169,144 : x
2. Step 2: Convert to fraction form
   77,160/169,144 = 169,144/x
3. Step 3: Cross multiply
   77,160x = 169,144 × 169,144
4. Step 4: Simplify right side
   77,160x = 28,609,692,736
5. Step 5: Solve for x
   x = 28,609,692,736/77,160
6. Step 6: Final answer
   x = 370,783.99