Finding the Third Proportional to 77,146 and 160,436

Step by Step Solution

1. Step 1: Write the proportion equation
   77,146 : 160,436 = 160,436 : x
2. Step 2: Convert to fraction form
   77,146/160,436 = 160,436/x
3. Step 3: Cross multiply
   77,146x = 160,436 × 160,436
4. Step 4: Simplify right side
   77,146x = 25,739,710,096
5. Step 5: Solve for x
   x = 25,739,710,096/77,146
6. Step 6: Final answer
   x = 333,649.32