Finding the Third Proportional to 65,402 and 141,166

Step by Step Solution

1. Step 1: Write the proportion equation
   65,402 : 141,166 = 141,166 : x
2. Step 2: Convert to fraction form
   65,402/141,166 = 141,166/x
3. Step 3: Cross multiply
   65,402x = 141,166 × 141,166
4. Step 4: Simplify right side
   65,402x = 19,927,839,556
5. Step 5: Solve for x
   x = 19,927,839,556/65,402
6. Step 6: Final answer
   x = 304,697.71