Finding the Third Proportional to 49,747.50 and 78,772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,747.50 : 78,772.50 = 78,772.50 : x
2. Step 2: Convert to fraction form
   49,747.50/78,772.50 = 78,772.50/x
3. Step 3: Cross multiply
   49,747.50x = 78,772.50 × 78,772.50
4. Step 4: Simplify right side
   49,747.50x = 6,205,106,756.25
5. Step 5: Solve for x
   x = 6,205,106,756.25/49,747.50
6. Step 6: Final answer
   x = 124,732.03