Finding the Third Proportional to 50,514 and 77,666.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,514 : 77,666.50 = 77,666.50 : x
2. Step 2: Convert to fraction form
   50,514/77,666.50 = 77,666.50/x
3. Step 3: Cross multiply
   50,514x = 77,666.50 × 77,666.50
4. Step 4: Simplify right side
   50,514x = 6,032,085,222.25
5. Step 5: Solve for x
   x = 6,032,085,222.25/50,514
6. Step 6: Final answer
   x = 119,414.13