Finding the Third Proportional to 127,840.50 and 200,106

Step by Step Solution

1. Step 1: Write the proportion equation
   127,840.50 : 200,106 = 200,106 : x
2. Step 2: Convert to fraction form
   127,840.50/200,106 = 200,106/x
3. Step 3: Cross multiply
   127,840.50x = 200,106 × 200,106
4. Step 4: Simplify right side
   127,840.50x = 40,042,411,236
5. Step 5: Solve for x
   x = 40,042,411,236/127,840.50
6. Step 6: Final answer
   x = 313,221.64