Finding the Third Proportional to 77,895 and 111,010.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,895 : 111,010.50 = 111,010.50 : x
2. Step 2: Convert to fraction form
   77,895/111,010.50 = 111,010.50/x
3. Step 3: Cross multiply
   77,895x = 111,010.50 × 111,010.50
4. Step 4: Simplify right side
   77,895x = 12,323,331,110.25
5. Step 5: Solve for x
   x = 12,323,331,110.25/77,895
6. Step 6: Final answer
   x = 158,204.39