Finding the Third Proportional to 103,885 and 152,364

Step by Step Solution

1. Step 1: Write the proportion equation
   103,885 : 152,364 = 152,364 : x
2. Step 2: Convert to fraction form
   103,885/152,364 = 152,364/x
3. Step 3: Cross multiply
   103,885x = 152,364 × 152,364
4. Step 4: Simplify right side
   103,885x = 23,214,788,496
5. Step 5: Solve for x
   x = 23,214,788,496/103,885
6. Step 6: Final answer
   x = 223,466.22