Finding the Third Proportional to 105,553 and 155,536

Step by Step Solution

1. Step 1: Write the proportion equation
   105,553 : 155,536 = 155,536 : x
2. Step 2: Convert to fraction form
   105,553/155,536 = 155,536/x
3. Step 3: Cross multiply
   105,553x = 155,536 × 155,536
4. Step 4: Simplify right side
   105,553x = 24,191,447,296
5. Step 5: Solve for x
   x = 24,191,447,296/105,553
6. Step 6: Final answer
   x = 229,187.68