Finding the Third Proportional to 65,853 and 145,152

Step by Step Solution

1. Step 1: Write the proportion equation
   65,853 : 145,152 = 145,152 : x
2. Step 2: Convert to fraction form
   65,853/145,152 = 145,152/x
3. Step 3: Cross multiply
   65,853x = 145,152 × 145,152
4. Step 4: Simplify right side
   65,853x = 21,069,103,104
5. Step 5: Solve for x
   x = 21,069,103,104/65,853
6. Step 6: Final answer
   x = 319,941.43