Finding the Third Proportional to 49,735.50 and 78,754.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,735.50 : 78,754.50 = 78,754.50 : x
2. Step 2: Convert to fraction form
   49,735.50/78,754.50 = 78,754.50/x
3. Step 3: Cross multiply
   49,735.50x = 78,754.50 × 78,754.50
4. Step 4: Simplify right side
   49,735.50x = 6,202,271,270.25
5. Step 5: Solve for x
   x = 6,202,271,270.25/49,735.50
6. Step 6: Final answer
   x = 124,705.12