Finding the Third Proportional to 55,827 and 121,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,827 : 121,675.50 = 121,675.50 : x
2. Step 2: Convert to fraction form
   55,827/121,675.50 = 121,675.50/x
3. Step 3: Cross multiply
   55,827x = 121,675.50 × 121,675.50
4. Step 4: Simplify right side
   55,827x = 14,804,927,300.25
5. Step 5: Solve for x
   x = 14,804,927,300.25/55,827
6. Step 6: Final answer
   x = 265,192.96