Finding the Third Proportional to 46,869 and 100,663.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,869 : 100,663.50 = 100,663.50 : x
2. Step 2: Convert to fraction form
   46,869/100,663.50 = 100,663.50/x
3. Step 3: Cross multiply
   46,869x = 100,663.50 × 100,663.50
4. Step 4: Simplify right side
   46,869x = 10,133,140,232.25
5. Step 5: Solve for x
   x = 10,133,140,232.25/46,869
6. Step 6: Final answer
   x = 216,201.33