Finding the Third Proportional to 77,443 and 113,895.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,443 : 113,895.50 = 113,895.50 : x
2. Step 2: Convert to fraction form
   77,443/113,895.50 = 113,895.50/x
3. Step 3: Cross multiply
   77,443x = 113,895.50 × 113,895.50
4. Step 4: Simplify right side
   77,443x = 12,972,184,920.25
5. Step 5: Solve for x
   x = 12,972,184,920.25/77,443
6. Step 6: Final answer
   x = 167,506.23