Finding the Third Proportional to 46,729 and 102,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,729 : 102,799.50 = 102,799.50 : x
2. Step 2: Convert to fraction form
   46,729/102,799.50 = 102,799.50/x
3. Step 3: Cross multiply
   46,729x = 102,799.50 × 102,799.50
4. Step 4: Simplify right side
   46,729x = 10,567,737,200.25
5. Step 5: Solve for x
   x = 10,567,737,200.25/46,729
6. Step 6: Final answer
   x = 226,149.44