Finding the Third Proportional to 56,664 and 132,345

Step by Step Solution

1. Step 1: Write the proportion equation
   56,664 : 132,345 = 132,345 : x
2. Step 2: Convert to fraction form
   56,664/132,345 = 132,345/x
3. Step 3: Cross multiply
   56,664x = 132,345 × 132,345
4. Step 4: Simplify right side
   56,664x = 17,515,199,025
5. Step 5: Solve for x
   x = 17,515,199,025/56,664
6. Step 6: Final answer
   x = 309,106.29