Finding the Third Proportional to 49,090.50 and 101,823.75

Step by Step Solution

1. Step 1: Write the proportion equation
   49,090.50 : 101,823.75 = 101,823.75 : x
2. Step 2: Convert to fraction form
   49,090.50/101,823.75 = 101,823.75/x
3. Step 3: Cross multiply
   49,090.50x = 101,823.75 × 101,823.75
4. Step 4: Simplify right side
   49,090.50x = 10,368,076,064.06
5. Step 5: Solve for x
   x = 10,368,076,064.06/49,090.50
6. Step 6: Final answer
   x = 211,203.31