Finding the Third Proportional to 103,624 and 154,796

Step by Step Solution

1. Step 1: Write the proportion equation
   103,624 : 154,796 = 154,796 : x
2. Step 2: Convert to fraction form
   103,624/154,796 = 154,796/x
3. Step 3: Cross multiply
   103,624x = 154,796 × 154,796
4. Step 4: Simplify right side
   103,624x = 23,961,801,616
5. Step 5: Solve for x
   x = 23,961,801,616/103,624
6. Step 6: Final answer
   x = 231,237.95