Finding the Third Proportional to 50,173.50 and 77,731.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,173.50 : 77,731.50 = 77,731.50 : x
2. Step 2: Convert to fraction form
   50,173.50/77,731.50 = 77,731.50/x
3. Step 3: Cross multiply
   50,173.50x = 77,731.50 × 77,731.50
4. Step 4: Simplify right side
   50,173.50x = 6,042,186,092.25
5. Step 5: Solve for x
   x = 6,042,186,092.25/50,173.50
6. Step 6: Final answer
   x = 120,425.84