Finding the Third Proportional to 71,746 and 105,426

Step by Step Solution

1. Step 1: Write the proportion equation
   71,746 : 105,426 = 105,426 : x
2. Step 2: Convert to fraction form
   71,746/105,426 = 105,426/x
3. Step 3: Cross multiply
   71,746x = 105,426 × 105,426
4. Step 4: Simplify right side
   71,746x = 11,114,641,476
5. Step 5: Solve for x
   x = 11,114,641,476/71,746
6. Step 6: Final answer
   x = 154,916.53