Finding the Third Proportional to 48,730 and 106,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,730 : 106,766.50 = 106,766.50 : x
2. Step 2: Convert to fraction form
   48,730/106,766.50 = 106,766.50/x
3. Step 3: Cross multiply
   48,730x = 106,766.50 × 106,766.50
4. Step 4: Simplify right side
   48,730x = 11,399,085,522.25
5. Step 5: Solve for x
   x = 11,399,085,522.25/48,730
6. Step 6: Final answer
   x = 233,923.36