Finding the Third Proportional to 53,691 and 116,608.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,691 : 116,608.50 = 116,608.50 : x
2. Step 2: Convert to fraction form
   53,691/116,608.50 = 116,608.50/x
3. Step 3: Cross multiply
   53,691x = 116,608.50 × 116,608.50
4. Step 4: Simplify right side
   53,691x = 13,597,542,272.25
5. Step 5: Solve for x
   x = 13,597,542,272.25/53,691
6. Step 6: Final answer
   x = 253,255.52