Finding the Third Proportional to 48,646.50 and 106,870

Step by Step Solution

1. Step 1: Write the proportion equation
   48,646.50 : 106,870 = 106,870 : x
2. Step 2: Convert to fraction form
   48,646.50/106,870 = 106,870/x
3. Step 3: Cross multiply
   48,646.50x = 106,870 × 106,870
4. Step 4: Simplify right side
   48,646.50x = 11,421,196,900
5. Step 5: Solve for x
   x = 11,421,196,900/48,646.50
6. Step 6: Final answer
   x = 234,779.42