Finding the Third Proportional to 77,052 and 160,152

Step by Step Solution

1. Step 1: Write the proportion equation
   77,052 : 160,152 = 160,152 : x
2. Step 2: Convert to fraction form
   77,052/160,152 = 160,152/x
3. Step 3: Cross multiply
   77,052x = 160,152 × 160,152
4. Step 4: Simplify right side
   77,052x = 25,648,663,104
5. Step 5: Solve for x
   x = 25,648,663,104/77,052
6. Step 6: Final answer
   x = 332,874.72