Finding the Third Proportional to 106,878 and 235,087.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,878 : 235,087.50 = 235,087.50 : x
2. Step 2: Convert to fraction form
   106,878/235,087.50 = 235,087.50/x
3. Step 3: Cross multiply
   106,878x = 235,087.50 × 235,087.50
4. Step 4: Simplify right side
   106,878x = 55,266,132,656.25
5. Step 5: Solve for x
   x = 55,266,132,656.25/106,878
6. Step 6: Final answer
   x = 517,095.50