Finding the Third Proportional to 48,567 and 105,679.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,567 : 105,679.50 = 105,679.50 : x
2. Step 2: Convert to fraction form
   48,567/105,679.50 = 105,679.50/x
3. Step 3: Cross multiply
   48,567x = 105,679.50 × 105,679.50
4. Step 4: Simplify right side
   48,567x = 11,168,156,720.25
5. Step 5: Solve for x
   x = 11,168,156,720.25/48,567
6. Step 6: Final answer
   x = 229,953.60