Finding the Third Proportional to 81,924.75 and 178,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,924.75 : 178,672.50 = 178,672.50 : x
2. Step 2: Convert to fraction form
   81,924.75/178,672.50 = 178,672.50/x
3. Step 3: Cross multiply
   81,924.75x = 178,672.50 × 178,672.50
4. Step 4: Simplify right side
   81,924.75x = 31,923,862,256.25
5. Step 5: Solve for x
   x = 31,923,862,256.25/81,924.75
6. Step 6: Final answer
   x = 389,672.99