Finding the Third Proportional to 49,835 and 77,243.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,835 : 77,243.50 = 77,243.50 : x
2. Step 2: Convert to fraction form
   49,835/77,243.50 = 77,243.50/x
3. Step 3: Cross multiply
   49,835x = 77,243.50 × 77,243.50
4. Step 4: Simplify right side
   49,835x = 5,966,558,292.25
5. Step 5: Solve for x
   x = 5,966,558,292.25/49,835
6. Step 6: Final answer
   x = 119,726.26