Finding the Third Proportional to 128,428.50 and 205,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   128,428.50 : 205,096.50 = 205,096.50 : x
2. Step 2: Convert to fraction form
   128,428.50/205,096.50 = 205,096.50/x
3. Step 3: Cross multiply
   128,428.50x = 205,096.50 × 205,096.50
4. Step 4: Simplify right side
   128,428.50x = 42,064,574,312.25
5. Step 5: Solve for x
   x = 42,064,574,312.25/128,428.50
6. Step 6: Final answer
   x = 327,533.02