Finding the Third Proportional to 106,384.50 and 229,580.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,384.50 : 229,580.50 = 229,580.50 : x
2. Step 2: Convert to fraction form
   106,384.50/229,580.50 = 229,580.50/x
3. Step 3: Cross multiply
   106,384.50x = 229,580.50 × 229,580.50
4. Step 4: Simplify right side
   106,384.50x = 52,707,205,980.25
5. Step 5: Solve for x
   x = 52,707,205,980.25/106,384.50
6. Step 6: Final answer
   x = 495,440.65