Finding the Third Proportional to 77,150 and 169,072

Step by Step Solution

1. Step 1: Write the proportion equation
   77,150 : 169,072 = 169,072 : x
2. Step 2: Convert to fraction form
   77,150/169,072 = 169,072/x
3. Step 3: Cross multiply
   77,150x = 169,072 × 169,072
4. Step 4: Simplify right side
   77,150x = 28,585,341,184
5. Step 5: Solve for x
   x = 28,585,341,184/77,150
6. Step 6: Final answer
   x = 370,516.41