Finding the Third Proportional to 128,071.50 and 205,776

Step by Step Solution

1. Step 1: Write the proportion equation
   128,071.50 : 205,776 = 205,776 : x
2. Step 2: Convert to fraction form
   128,071.50/205,776 = 205,776/x
3. Step 3: Cross multiply
   128,071.50x = 205,776 × 205,776
4. Step 4: Simplify right side
   128,071.50x = 42,343,762,176
5. Step 5: Solve for x
   x = 42,343,762,176/128,071.50
6. Step 6: Final answer
   x = 330,625.96