Finding the Third Proportional to 105,766 and 155,719

Step by Step Solution

1. Step 1: Write the proportion equation
   105,766 : 155,719 = 155,719 : x
2. Step 2: Convert to fraction form
   105,766/155,719 = 155,719/x
3. Step 3: Cross multiply
   105,766x = 155,719 × 155,719
4. Step 4: Simplify right side
   105,766x = 24,248,406,961
5. Step 5: Solve for x
   x = 24,248,406,961/105,766
6. Step 6: Final answer
   x = 229,264.67