Finding the Third Proportional to 46,147.50 and 100,298.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,147.50 : 100,298.50 = 100,298.50 : x
2. Step 2: Convert to fraction form
   46,147.50/100,298.50 = 100,298.50/x
3. Step 3: Cross multiply
   46,147.50x = 100,298.50 × 100,298.50
4. Step 4: Simplify right side
   46,147.50x = 10,059,789,102.25
5. Step 5: Solve for x
   x = 10,059,789,102.25/46,147.50
6. Step 6: Final answer
   x = 217,992.07