Finding the Third Proportional to 53,847 and 83,845.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,847 : 83,845.50 = 83,845.50 : x
2. Step 2: Convert to fraction form
   53,847/83,845.50 = 83,845.50/x
3. Step 3: Cross multiply
   53,847x = 83,845.50 × 83,845.50
4. Step 4: Simplify right side
   53,847x = 7,030,067,870.25
5. Step 5: Solve for x
   x = 7,030,067,870.25/53,847
6. Step 6: Final answer
   x = 130,556.35