Finding the Third Proportional to 73,632 and 160,152

Step by Step Solution

1. Step 1: Write the proportion equation
   73,632 : 160,152 = 160,152 : x
2. Step 2: Convert to fraction form
   73,632/160,152 = 160,152/x
3. Step 3: Cross multiply
   73,632x = 160,152 × 160,152
4. Step 4: Simplify right side
   73,632x = 25,648,663,104
5. Step 5: Solve for x
   x = 25,648,663,104/73,632
6. Step 6: Final answer
   x = 348,335.82