Finding the Third Proportional to 77,908.50 and 111,412.13

Step by Step Solution

1. Step 1: Write the proportion equation
   77,908.50 : 111,412.13 = 111,412.13 : x
2. Step 2: Convert to fraction form
   77,908.50/111,412.13 = 111,412.13/x
3. Step 3: Cross multiply
   77,908.50x = 111,412.13 × 111,412.13
4. Step 4: Simplify right side
   77,908.50x = 12,412,661,597.02
5. Step 5: Solve for x
   x = 12,412,661,597.02/77,908.50
6. Step 6: Final answer
   x = 159,323.59