Finding the Third Proportional to 103,689 and 152,131

Step by Step Solution

1. Step 1: Write the proportion equation
   103,689 : 152,131 = 152,131 : x
2. Step 2: Convert to fraction form
   103,689/152,131 = 152,131/x
3. Step 3: Cross multiply
   103,689x = 152,131 × 152,131
4. Step 4: Simplify right side
   103,689x = 23,143,841,161
5. Step 5: Solve for x
   x = 23,143,841,161/103,689
6. Step 6: Final answer
   x = 223,204.40