Finding the Third Proportional to 105,377 and 158,069

Step by Step Solution

1. Step 1: Write the proportion equation
   105,377 : 158,069 = 158,069 : x
2. Step 2: Convert to fraction form
   105,377/158,069 = 158,069/x
3. Step 3: Cross multiply
   105,377x = 158,069 × 158,069
4. Step 4: Simplify right side
   105,377x = 24,985,808,761
5. Step 5: Solve for x
   x = 24,985,808,761/105,377
6. Step 6: Final answer
   x = 237,108.75