Finding the Third Proportional to 55,188 and 84,496.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,188 : 84,496.50 = 84,496.50 : x
2. Step 2: Convert to fraction form
   55,188/84,496.50 = 84,496.50/x
3. Step 3: Cross multiply
   55,188x = 84,496.50 × 84,496.50
4. Step 4: Simplify right side
   55,188x = 7,139,658,512.25
5. Step 5: Solve for x
   x = 7,139,658,512.25/55,188
6. Step 6: Final answer
   x = 129,369.76