Finding the Third Proportional to 85,644 and 130,488

Step by Step Solution

1. Step 1: Write the proportion equation
   85,644 : 130,488 = 130,488 : x
2. Step 2: Convert to fraction form
   85,644/130,488 = 130,488/x
3. Step 3: Cross multiply
   85,644x = 130,488 × 130,488
4. Step 4: Simplify right side
   85,644x = 17,027,118,144
5. Step 5: Solve for x
   x = 17,027,118,144/85,644
6. Step 6: Final answer
   x = 198,812.74