Finding the Third Proportional to 65,985 and 155,608.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,985 : 155,608.50 = 155,608.50 : x
2. Step 2: Convert to fraction form
   65,985/155,608.50 = 155,608.50/x
3. Step 3: Cross multiply
   65,985x = 155,608.50 × 155,608.50
4. Step 4: Simplify right side
   65,985x = 24,214,005,272.25
5. Step 5: Solve for x
   x = 24,214,005,272.25/65,985
6. Step 6: Final answer
   x = 366,962.27