Finding the Third Proportional to 76,308 and 112,255

Step by Step Solution

1. Step 1: Write the proportion equation
   76,308 : 112,255 = 112,255 : x
2. Step 2: Convert to fraction form
   76,308/112,255 = 112,255/x
3. Step 3: Cross multiply
   76,308x = 112,255 × 112,255
4. Step 4: Simplify right side
   76,308x = 12,601,185,025
5. Step 5: Solve for x
   x = 12,601,185,025/76,308
6. Step 6: Final answer
   x = 165,135.83