Finding the Third Proportional to 76,464 and 179,903.25

Step by Step Solution

1. Step 1: Write the proportion equation
   76,464 : 179,903.25 = 179,903.25 : x
2. Step 2: Convert to fraction form
   76,464/179,903.25 = 179,903.25/x
3. Step 3: Cross multiply
   76,464x = 179,903.25 × 179,903.25
4. Step 4: Simplify right side
   76,464x = 32,365,179,360.56
5. Step 5: Solve for x
   x = 32,365,179,360.56/76,464
6. Step 6: Final answer
   x = 423,273.43