Finding the Third Proportional to 85,779 and 130,946.63

Step by Step Solution

1. Step 1: Write the proportion equation
   85,779 : 130,946.63 = 130,946.63 : x
2. Step 2: Convert to fraction form
   85,779/130,946.63 = 130,946.63/x
3. Step 3: Cross multiply
   85,779x = 130,946.63 × 130,946.63
4. Step 4: Simplify right side
   85,779x = 17,147,018,598.89
5. Step 5: Solve for x
   x = 17,147,018,598.89/85,779
6. Step 6: Final answer
   x = 199,897.63