Finding the Third Proportional to 76,548 and 113,728.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,548 : 113,728.50 = 113,728.50 : x
2. Step 2: Convert to fraction form
   76,548/113,728.50 = 113,728.50/x
3. Step 3: Cross multiply
   76,548x = 113,728.50 × 113,728.50
4. Step 4: Simplify right side
   76,548x = 12,934,171,712.25
5. Step 5: Solve for x
   x = 12,934,171,712.25/76,548
6. Step 6: Final answer
   x = 168,968.12