Finding the Third Proportional to 48,677 and 104,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,677 : 104,633.50 = 104,633.50 : x
2. Step 2: Convert to fraction form
   48,677/104,633.50 = 104,633.50/x
3. Step 3: Cross multiply
   48,677x = 104,633.50 × 104,633.50
4. Step 4: Simplify right side
   48,677x = 10,948,169,322.25
5. Step 5: Solve for x
   x = 10,948,169,322.25/48,677
6. Step 6: Final answer
   x = 224,914.63