Finding the Third Proportional to 49,072.50 and 77,830.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,072.50 : 77,830.50 = 77,830.50 : x
2. Step 2: Convert to fraction form
   49,072.50/77,830.50 = 77,830.50/x
3. Step 3: Cross multiply
   49,072.50x = 77,830.50 × 77,830.50
4. Step 4: Simplify right side
   49,072.50x = 6,057,586,730.25
5. Step 5: Solve for x
   x = 6,057,586,730.25/49,072.50
6. Step 6: Final answer
   x = 123,441.58