Finding the Third Proportional to 130,040 and 204,045.50

Step by Step Solution

1. Step 1: Write the proportion equation
   130,040 : 204,045.50 = 204,045.50 : x
2. Step 2: Convert to fraction form
   130,040/204,045.50 = 204,045.50/x
3. Step 3: Cross multiply
   130,040x = 204,045.50 × 204,045.50
4. Step 4: Simplify right side
   130,040x = 41,634,566,070.25
5. Step 5: Solve for x
   x = 41,634,566,070.25/130,040
6. Step 6: Final answer
   x = 320,167.38