Finding the Third Proportional to 46,675.50 and 102,423

Step by Step Solution

1. Step 1: Write the proportion equation
   46,675.50 : 102,423 = 102,423 : x
2. Step 2: Convert to fraction form
   46,675.50/102,423 = 102,423/x
3. Step 3: Cross multiply
   46,675.50x = 102,423 × 102,423
4. Step 4: Simplify right side
   46,675.50x = 10,490,470,929
5. Step 5: Solve for x
   x = 10,490,470,929/46,675.50
6. Step 6: Final answer
   x = 224,753.26