Finding the Third Proportional to 76,916 and 112,350

Step by Step Solution

1. Step 1: Write the proportion equation
   76,916 : 112,350 = 112,350 : x
2. Step 2: Convert to fraction form
   76,916/112,350 = 112,350/x
3. Step 3: Cross multiply
   76,916x = 112,350 × 112,350
4. Step 4: Simplify right side
   76,916x = 12,622,522,500
5. Step 5: Solve for x
   x = 12,622,522,500/76,916
6. Step 6: Final answer
   x = 164,107.89