Finding the Third Proportional to 77,932.50 and 111,447

Step by Step Solution

1. Step 1: Write the proportion equation
   77,932.50 : 111,447 = 111,447 : x
2. Step 2: Convert to fraction form
   77,932.50/111,447 = 111,447/x
3. Step 3: Cross multiply
   77,932.50x = 111,447 × 111,447
4. Step 4: Simplify right side
   77,932.50x = 12,420,433,809
5. Step 5: Solve for x
   x = 12,420,433,809/77,932.50
6. Step 6: Final answer
   x = 159,374.25