Finding the Third Proportional to 103,666 and 152,188

Step by Step Solution

1. Step 1: Write the proportion equation
   103,666 : 152,188 = 152,188 : x
2. Step 2: Convert to fraction form
   103,666/152,188 = 152,188/x
3. Step 3: Cross multiply
   103,666x = 152,188 × 152,188
4. Step 4: Simplify right side
   103,666x = 23,161,187,344
5. Step 5: Solve for x
   x = 23,161,187,344/103,666
6. Step 6: Final answer
   x = 223,421.25