Finding the Third Proportional to 46,224 and 99,508.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,224 : 99,508.50 = 99,508.50 : x
2. Step 2: Convert to fraction form
   46,224/99,508.50 = 99,508.50/x
3. Step 3: Cross multiply
   46,224x = 99,508.50 × 99,508.50
4. Step 4: Simplify right side
   46,224x = 9,901,941,572.25
5. Step 5: Solve for x
   x = 9,901,941,572.25/46,224
6. Step 6: Final answer
   x = 214,216.46