Finding the Third Proportional to 48,426 and 105,429

Step by Step Solution

1. Step 1: Write the proportion equation
   48,426 : 105,429 = 105,429 : x
2. Step 2: Convert to fraction form
   48,426/105,429 = 105,429/x
3. Step 3: Cross multiply
   48,426x = 105,429 × 105,429
4. Step 4: Simplify right side
   48,426x = 11,115,274,041
5. Step 5: Solve for x
   x = 11,115,274,041/48,426
6. Step 6: Final answer
   x = 229,531.12