Finding the Third Proportional to 85,312 and 199,300

Step by Step Solution

1. Step 1: Write the proportion equation
   85,312 : 199,300 = 199,300 : x
2. Step 2: Convert to fraction form
   85,312/199,300 = 199,300/x
3. Step 3: Cross multiply
   85,312x = 199,300 × 199,300
4. Step 4: Simplify right side
   85,312x = 39,720,490,000
5. Step 5: Solve for x
   x = 39,720,490,000/85,312
6. Step 6: Final answer
   x = 465,590.89