Finding the Third Proportional to 53,598.50 and 78,383.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,598.50 : 78,383.50 = 78,383.50 : x
2. Step 2: Convert to fraction form
   53,598.50/78,383.50 = 78,383.50/x
3. Step 3: Cross multiply
   53,598.50x = 78,383.50 × 78,383.50
4. Step 4: Simplify right side
   53,598.50x = 6,143,973,072.25
5. Step 5: Solve for x
   x = 6,143,973,072.25/53,598.50
6. Step 6: Final answer
   x = 114,629.57