Finding the Third Proportional to 46,784 and 101,152

Step by Step Solution

1. Step 1: Write the proportion equation
   46,784 : 101,152 = 101,152 : x
2. Step 2: Convert to fraction form
   46,784/101,152 = 101,152/x
3. Step 3: Cross multiply
   46,784x = 101,152 × 101,152
4. Step 4: Simplify right side
   46,784x = 10,231,727,104
5. Step 5: Solve for x
   x = 10,231,727,104/46,784
6. Step 6: Final answer
   x = 218,701.42