Finding the Third Proportional to 49,952 and 77,340.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,952 : 77,340.50 = 77,340.50 : x
2. Step 2: Convert to fraction form
   49,952/77,340.50 = 77,340.50/x
3. Step 3: Cross multiply
   49,952x = 77,340.50 × 77,340.50
4. Step 4: Simplify right side
   49,952x = 5,981,552,940.25
5. Step 5: Solve for x
   x = 5,981,552,940.25/49,952
6. Step 6: Final answer
   x = 119,746.01