Finding the Third Proportional to 76,898 and 113,565

Step by Step Solution

1. Step 1: Write the proportion equation
   76,898 : 113,565 = 113,565 : x
2. Step 2: Convert to fraction form
   76,898/113,565 = 113,565/x
3. Step 3: Cross multiply
   76,898x = 113,565 × 113,565
4. Step 4: Simplify right side
   76,898x = 12,897,009,225
5. Step 5: Solve for x
   x = 12,897,009,225/76,898
6. Step 6: Final answer
   x = 167,715.80