Finding the Third Proportional to 127,701 and 202,111.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,701 : 202,111.50 = 202,111.50 : x
2. Step 2: Convert to fraction form
   127,701/202,111.50 = 202,111.50/x
3. Step 3: Cross multiply
   127,701x = 202,111.50 × 202,111.50
4. Step 4: Simplify right side
   127,701x = 40,849,058,432.25
5. Step 5: Solve for x
   x = 40,849,058,432.25/127,701
6. Step 6: Final answer
   x = 319,880.49