Finding the Third Proportional to 76,882.50 and 116,878.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,882.50 : 116,878.50 = 116,878.50 : x
2. Step 2: Convert to fraction form
   76,882.50/116,878.50 = 116,878.50/x
3. Step 3: Cross multiply
   76,882.50x = 116,878.50 × 116,878.50
4. Step 4: Simplify right side
   76,882.50x = 13,660,583,762.25
5. Step 5: Solve for x
   x = 13,660,583,762.25/76,882.50
6. Step 6: Final answer
   x = 177,681.32