Finding the Third Proportional to 85,423 and 187,300

Step by Step Solution

1. Step 1: Write the proportion equation
   85,423 : 187,300 = 187,300 : x
2. Step 2: Convert to fraction form
   85,423/187,300 = 187,300/x
3. Step 3: Cross multiply
   85,423x = 187,300 × 187,300
4. Step 4: Simplify right side
   85,423x = 35,081,290,000
5. Step 5: Solve for x
   x = 35,081,290,000/85,423
6. Step 6: Final answer
   x = 410,677.34