Finding the Third Proportional to 46,485 and 100,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,485 : 100,697.50 = 100,697.50 : x
2. Step 2: Convert to fraction form
   46,485/100,697.50 = 100,697.50/x
3. Step 3: Cross multiply
   46,485x = 100,697.50 × 100,697.50
4. Step 4: Simplify right side
   46,485x = 10,139,986,506.25
5. Step 5: Solve for x
   x = 10,139,986,506.25/46,485
6. Step 6: Final answer
   x = 218,134.59