Finding the Third Proportional to 103,663 and 160,076

Step by Step Solution

1. Step 1: Write the proportion equation
   103,663 : 160,076 = 160,076 : x
2. Step 2: Convert to fraction form
   103,663/160,076 = 160,076/x
3. Step 3: Cross multiply
   103,663x = 160,076 × 160,076
4. Step 4: Simplify right side
   103,663x = 25,624,325,776
5. Step 5: Solve for x
   x = 25,624,325,776/103,663
6. Step 6: Final answer
   x = 247,188.73