Finding the Third Proportional to 76,468 and 116,898

Step by Step Solution

1. Step 1: Write the proportion equation
   76,468 : 116,898 = 116,898 : x
2. Step 2: Convert to fraction form
   76,468/116,898 = 116,898/x
3. Step 3: Cross multiply
   76,468x = 116,898 × 116,898
4. Step 4: Simplify right side
   76,468x = 13,665,142,404
5. Step 5: Solve for x
   x = 13,665,142,404/76,468
6. Step 6: Final answer
   x = 178,704.06