Finding the Third Proportional to 78,032 and 111,513

Step by Step Solution

1. Step 1: Write the proportion equation
   78,032 : 111,513 = 111,513 : x
2. Step 2: Convert to fraction form
   78,032/111,513 = 111,513/x
3. Step 3: Cross multiply
   78,032x = 111,513 × 111,513
4. Step 4: Simplify right side
   78,032x = 12,435,149,169
5. Step 5: Solve for x
   x = 12,435,149,169/78,032
6. Step 6: Final answer
   x = 159,359.61