Finding the Third Proportional to 77,161 and 169,094

Step by Step Solution

1. Step 1: Write the proportion equation
   77,161 : 169,094 = 169,094 : x
2. Step 2: Convert to fraction form
   77,161/169,094 = 169,094/x
3. Step 3: Cross multiply
   77,161x = 169,094 × 169,094
4. Step 4: Simplify right side
   77,161x = 28,592,780,836
5. Step 5: Solve for x
   x = 28,592,780,836/77,161
6. Step 6: Final answer
   x = 370,560.01