Finding the Third Proportional to 53,601 and 114,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,601 : 114,577.50 = 114,577.50 : x
2. Step 2: Convert to fraction form
   53,601/114,577.50 = 114,577.50/x
3. Step 3: Cross multiply
   53,601x = 114,577.50 × 114,577.50
4. Step 4: Simplify right side
   53,601x = 13,128,003,506.25
5. Step 5: Solve for x
   x = 13,128,003,506.25/53,601
6. Step 6: Final answer
   x = 244,920.87