Finding the Third Proportional to 53,883 and 115,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,883 : 115,096.50 = 115,096.50 : x
2. Step 2: Convert to fraction form
   53,883/115,096.50 = 115,096.50/x
3. Step 3: Cross multiply
   53,883x = 115,096.50 × 115,096.50
4. Step 4: Simplify right side
   53,883x = 13,247,204,312.25
5. Step 5: Solve for x
   x = 13,247,204,312.25/53,883
6. Step 6: Final answer
   x = 245,851.28