Finding the Third Proportional to 103,689 and 152,132

Step by Step Solution

1. Step 1: Write the proportion equation
   103,689 : 152,132 = 152,132 : x
2. Step 2: Convert to fraction form
   103,689/152,132 = 152,132/x
3. Step 3: Cross multiply
   103,689x = 152,132 × 152,132
4. Step 4: Simplify right side
   103,689x = 23,144,145,424
5. Step 5: Solve for x
   x = 23,144,145,424/103,689
6. Step 6: Final answer
   x = 223,207.34