Finding the Third Proportional to 76,770 and 107,500.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,770 : 107,500.50 = 107,500.50 : x
2. Step 2: Convert to fraction form
   76,770/107,500.50 = 107,500.50/x
3. Step 3: Cross multiply
   76,770x = 107,500.50 × 107,500.50
4. Step 4: Simplify right side
   76,770x = 11,556,357,500.25
5. Step 5: Solve for x
   x = 11,556,357,500.25/76,770
6. Step 6: Final answer
   x = 150,532.21