Finding the Third Proportional to 75,568.50 and 115,164

Step by Step Solution

1. Step 1: Write the proportion equation
   75,568.50 : 115,164 = 115,164 : x
2. Step 2: Convert to fraction form
   75,568.50/115,164 = 115,164/x
3. Step 3: Cross multiply
   75,568.50x = 115,164 × 115,164
4. Step 4: Simplify right side
   75,568.50x = 13,262,746,896
5. Step 5: Solve for x
   x = 13,262,746,896/75,568.50
6. Step 6: Final answer
   x = 175,506.29