Finding the Third Proportional to 49,545 and 106,501.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,545 : 106,501.50 = 106,501.50 : x
2. Step 2: Convert to fraction form
   49,545/106,501.50 = 106,501.50/x
3. Step 3: Cross multiply
   49,545x = 106,501.50 × 106,501.50
4. Step 4: Simplify right side
   49,545x = 11,342,569,502.25
5. Step 5: Solve for x
   x = 11,342,569,502.25/49,545
6. Step 6: Final answer
   x = 228,934.70