Finding the Third Proportional to 46,215 and 100,152

Step by Step Solution

1. Step 1: Write the proportion equation
   46,215 : 100,152 = 100,152 : x
2. Step 2: Convert to fraction form
   46,215/100,152 = 100,152/x
3. Step 3: Cross multiply
   46,215x = 100,152 × 100,152
4. Step 4: Simplify right side
   46,215x = 10,030,423,104
5. Step 5: Solve for x
   x = 10,030,423,104/46,215
6. Step 6: Final answer
   x = 217,038.26