Finding the Third Proportional to 101,976 and 224,341.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,976 : 224,341.50 = 224,341.50 : x
2. Step 2: Convert to fraction form
   101,976/224,341.50 = 224,341.50/x
3. Step 3: Cross multiply
   101,976x = 224,341.50 × 224,341.50
4. Step 4: Simplify right side
   101,976x = 50,329,108,622.25
5. Step 5: Solve for x
   x = 50,329,108,622.25/101,976
6. Step 6: Final answer
   x = 493,538.76