Finding the Third Proportional to 51,402 and 109,590

Step by Step Solution

1. Step 1: Write the proportion equation
   51,402 : 109,590 = 109,590 : x
2. Step 2: Convert to fraction form
   51,402/109,590 = 109,590/x
3. Step 3: Cross multiply
   51,402x = 109,590 × 109,590
4. Step 4: Simplify right side
   51,402x = 12,009,968,100
5. Step 5: Solve for x
   x = 12,009,968,100/51,402
6. Step 6: Final answer
   x = 233,647.88