Finding the Third Proportional to 53,577 and 116,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,577 : 116,675.50 = 116,675.50 : x
2. Step 2: Convert to fraction form
   53,577/116,675.50 = 116,675.50/x
3. Step 3: Cross multiply
   53,577x = 116,675.50 × 116,675.50
4. Step 4: Simplify right side
   53,577x = 13,613,172,300.25
5. Step 5: Solve for x
   x = 13,613,172,300.25/53,577
6. Step 6: Final answer
   x = 254,086.12