Finding the Third Proportional to 77,139 and 169,074

Step by Step Solution

1. Step 1: Write the proportion equation
   77,139 : 169,074 = 169,074 : x
2. Step 2: Convert to fraction form
   77,139/169,074 = 169,074/x
3. Step 3: Cross multiply
   77,139x = 169,074 × 169,074
4. Step 4: Simplify right side
   77,139x = 28,586,017,476
5. Step 5: Solve for x
   x = 28,586,017,476/77,139
6. Step 6: Final answer
   x = 370,578.01