Finding the Third Proportional to 106,875 and 229,828.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,875 : 229,828.50 = 229,828.50 : x
2. Step 2: Convert to fraction form
   106,875/229,828.50 = 229,828.50/x
3. Step 3: Cross multiply
   106,875x = 229,828.50 × 229,828.50
4. Step 4: Simplify right side
   106,875x = 52,821,139,412.25
5. Step 5: Solve for x
   x = 52,821,139,412.25/106,875
6. Step 6: Final answer
   x = 494,232.88