Finding the Third Proportional to 48,564 and 105,673.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,564 : 105,673.50 = 105,673.50 : x
2. Step 2: Convert to fraction form
   48,564/105,673.50 = 105,673.50/x
3. Step 3: Cross multiply
   48,564x = 105,673.50 × 105,673.50
4. Step 4: Simplify right side
   48,564x = 11,166,888,602.25
5. Step 5: Solve for x
   x = 11,166,888,602.25/48,564
6. Step 6: Final answer
   x = 229,941.70