Finding the Third Proportional to 48,945.50 and 106,878.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,945.50 : 106,878.50 = 106,878.50 : x
2. Step 2: Convert to fraction form
   48,945.50/106,878.50 = 106,878.50/x
3. Step 3: Cross multiply
   48,945.50x = 106,878.50 × 106,878.50
4. Step 4: Simplify right side
   48,945.50x = 11,423,013,762.25
5. Step 5: Solve for x
   x = 11,423,013,762.25/48,945.50
6. Step 6: Final answer
   x = 233,382.31