Finding the Third Proportional to 105,352 and 160,076

Step by Step Solution

1. Step 1: Write the proportion equation
   105,352 : 160,076 = 160,076 : x
2. Step 2: Convert to fraction form
   105,352/160,076 = 160,076/x
3. Step 3: Cross multiply
   105,352x = 160,076 × 160,076
4. Step 4: Simplify right side
   105,352x = 25,624,325,776
5. Step 5: Solve for x
   x = 25,624,325,776/105,352
6. Step 6: Final answer
   x = 243,225.81