Finding the Third Proportional to 48,624 and 112,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,624 : 112,633.50 = 112,633.50 : x
2. Step 2: Convert to fraction form
   48,624/112,633.50 = 112,633.50/x
3. Step 3: Cross multiply
   48,624x = 112,633.50 × 112,633.50
4. Step 4: Simplify right side
   48,624x = 12,686,305,322.25
5. Step 5: Solve for x
   x = 12,686,305,322.25/48,624
6. Step 6: Final answer
   x = 260,906.25