Finding the Third Proportional to 105,384 and 158,076

Step by Step Solution

1. Step 1: Write the proportion equation
   105,384 : 158,076 = 158,076 : x
2. Step 2: Convert to fraction form
   105,384/158,076 = 158,076/x
3. Step 3: Cross multiply
   105,384x = 158,076 × 158,076
4. Step 4: Simplify right side
   105,384x = 24,988,021,776
5. Step 5: Solve for x
   x = 24,988,021,776/105,384
6. Step 6: Final answer
   x = 237,114