Finding the Third Proportional to 46,683 and 102,436.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,683 : 102,436.50 = 102,436.50 : x
2. Step 2: Convert to fraction form
   46,683/102,436.50 = 102,436.50/x
3. Step 3: Cross multiply
   46,683x = 102,436.50 × 102,436.50
4. Step 4: Simplify right side
   46,683x = 10,493,236,532.25
5. Step 5: Solve for x
   x = 10,493,236,532.25/46,683
6. Step 6: Final answer
   x = 224,776.40