Finding the Third Proportional to 65,466 and 142,597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,466 : 142,597.50 = 142,597.50 : x
2. Step 2: Convert to fraction form
   65,466/142,597.50 = 142,597.50/x
3. Step 3: Cross multiply
   65,466x = 142,597.50 × 142,597.50
4. Step 4: Simplify right side
   65,466x = 20,334,047,006.25
5. Step 5: Solve for x
   x = 20,334,047,006.25/65,466
6. Step 6: Final answer
   x = 310,604.70