Finding the Third Proportional to 76,621.50 and 107,275.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,621.50 : 107,275.50 = 107,275.50 : x
2. Step 2: Convert to fraction form
   76,621.50/107,275.50 = 107,275.50/x
3. Step 3: Cross multiply
   76,621.50x = 107,275.50 × 107,275.50
4. Step 4: Simplify right side
   76,621.50x = 11,508,032,900.25
5. Step 5: Solve for x
   x = 11,508,032,900.25/76,621.50
6. Step 6: Final answer
   x = 150,193.26