Finding the Third Proportional to 53,648 and 83,114.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,648 : 83,114.50 = 83,114.50 : x
2. Step 2: Convert to fraction form
   53,648/83,114.50 = 83,114.50/x
3. Step 3: Cross multiply
   53,648x = 83,114.50 × 83,114.50
4. Step 4: Simplify right side
   53,648x = 6,908,020,110.25
5. Step 5: Solve for x
   x = 6,908,020,110.25/53,648
6. Step 6: Final answer
   x = 128,765.66