Finding the Third Proportional to 46,146 and 69,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,146 : 69,205.50 = 69,205.50 : x
2. Step 2: Convert to fraction form
   46,146/69,205.50 = 69,205.50/x
3. Step 3: Cross multiply
   46,146x = 69,205.50 × 69,205.50
4. Step 4: Simplify right side
   46,146x = 4,789,401,230.25
5. Step 5: Solve for x
   x = 4,789,401,230.25/46,146
6. Step 6: Final answer
   x = 103,788.00