Finding the Third Proportional to 50,500 and 76,798.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,500 : 76,798.50 = 76,798.50 : x
2. Step 2: Convert to fraction form
   50,500/76,798.50 = 76,798.50/x
3. Step 3: Cross multiply
   50,500x = 76,798.50 × 76,798.50
4. Step 4: Simplify right side
   50,500x = 5,898,009,602.25
5. Step 5: Solve for x
   x = 5,898,009,602.25/50,500
6. Step 6: Final answer
   x = 116,792.27