Finding the Third Proportional to 77,763 and 113,728.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,763 : 113,728.50 = 113,728.50 : x
2. Step 2: Convert to fraction form
   77,763/113,728.50 = 113,728.50/x
3. Step 3: Cross multiply
   77,763x = 113,728.50 × 113,728.50
4. Step 4: Simplify right side
   77,763x = 12,934,171,712.25
5. Step 5: Solve for x
   x = 12,934,171,712.25/77,763
6. Step 6: Final answer
   x = 166,328.10