Finding the Third Proportional to 127,776 and 200,473.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,776 : 200,473.50 = 200,473.50 : x
2. Step 2: Convert to fraction form
   127,776/200,473.50 = 200,473.50/x
3. Step 3: Cross multiply
   127,776x = 200,473.50 × 200,473.50
4. Step 4: Simplify right side
   127,776x = 40,189,624,202.25
5. Step 5: Solve for x
   x = 40,189,624,202.25/127,776
6. Step 6: Final answer
   x = 314,531.87