Finding the Third Proportional to 103,766 and 152,206

Step by Step Solution

1. Step 1: Write the proportion equation
   103,766 : 152,206 = 152,206 : x
2. Step 2: Convert to fraction form
   103,766/152,206 = 152,206/x
3. Step 3: Cross multiply
   103,766x = 152,206 × 152,206
4. Step 4: Simplify right side
   103,766x = 23,166,666,436
5. Step 5: Solve for x
   x = 23,166,666,436/103,766
6. Step 6: Final answer
   x = 223,258.74