Finding the Third Proportional to 47,697 and 103,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,697 : 103,588.50 = 103,588.50 : x
2. Step 2: Convert to fraction form
   47,697/103,588.50 = 103,588.50/x
3. Step 3: Cross multiply
   47,697x = 103,588.50 × 103,588.50
4. Step 4: Simplify right side
   47,697x = 10,730,577,332.25
5. Step 5: Solve for x
   x = 10,730,577,332.25/47,697
6. Step 6: Final answer
   x = 224,973.84