Finding the Third Proportional to 103,666 and 152,185

Step by Step Solution

1. Step 1: Write the proportion equation
   103,666 : 152,185 = 152,185 : x
2. Step 2: Convert to fraction form
   103,666/152,185 = 152,185/x
3. Step 3: Cross multiply
   103,666x = 152,185 × 152,185
4. Step 4: Simplify right side
   103,666x = 23,160,274,225
5. Step 5: Solve for x
   x = 23,160,274,225/103,666
6. Step 6: Final answer
   x = 223,412.44