Finding the Third Proportional to 103,914 and 152,409

Step by Step Solution

1. Step 1: Write the proportion equation
   103,914 : 152,409 = 152,409 : x
2. Step 2: Convert to fraction form
   103,914/152,409 = 152,409/x
3. Step 3: Cross multiply
   103,914x = 152,409 × 152,409
4. Step 4: Simplify right side
   103,914x = 23,228,503,281
5. Step 5: Solve for x
   x = 23,228,503,281/103,914
6. Step 6: Final answer
   x = 223,535.84