Finding the Third Proportional to 49,308 and 106,495.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,308 : 106,495.50 = 106,495.50 : x
2. Step 2: Convert to fraction form
   49,308/106,495.50 = 106,495.50/x
3. Step 3: Cross multiply
   49,308x = 106,495.50 × 106,495.50
4. Step 4: Simplify right side
   49,308x = 11,341,291,520.25
5. Step 5: Solve for x
   x = 11,341,291,520.25/49,308
6. Step 6: Final answer
   x = 230,009.16