Finding the Third Proportional to 46,788 and 102,625.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,788 : 102,625.50 = 102,625.50 : x
2. Step 2: Convert to fraction form
   46,788/102,625.50 = 102,625.50/x
3. Step 3: Cross multiply
   46,788x = 102,625.50 × 102,625.50
4. Step 4: Simplify right side
   46,788x = 10,531,993,250.25
5. Step 5: Solve for x
   x = 10,531,993,250.25/46,788
6. Step 6: Final answer
   x = 225,100.31