Finding the Third Proportional to 46,588.50 and 100,553.63

Step by Step Solution

1. Step 1: Write the proportion equation
   46,588.50 : 100,553.63 = 100,553.63 : x
2. Step 2: Convert to fraction form
   46,588.50/100,553.63 = 100,553.63/x
3. Step 3: Cross multiply
   46,588.50x = 100,553.63 × 100,553.63
4. Step 4: Simplify right side
   46,588.50x = 10,111,031,500.64
5. Step 5: Solve for x
   x = 10,111,031,500.64/46,588.50
6. Step 6: Final answer
   x = 217,028.48