Finding the Third Proportional to 50,152.50 and 77,278.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,152.50 : 77,278.50 = 77,278.50 : x
2. Step 2: Convert to fraction form
   50,152.50/77,278.50 = 77,278.50/x
3. Step 3: Cross multiply
   50,152.50x = 77,278.50 × 77,278.50
4. Step 4: Simplify right side
   50,152.50x = 5,971,966,562.25
5. Step 5: Solve for x
   x = 5,971,966,562.25/50,152.50
6. Step 6: Final answer
   x = 119,076.15