Finding the Third Proportional to 65,424 and 141,310.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,424 : 141,310.50 = 141,310.50 : x
2. Step 2: Convert to fraction form
   65,424/141,310.50 = 141,310.50/x
3. Step 3: Cross multiply
   65,424x = 141,310.50 × 141,310.50
4. Step 4: Simplify right side
   65,424x = 19,968,657,410.25
5. Step 5: Solve for x
   x = 19,968,657,410.25/65,424
6. Step 6: Final answer
   x = 305,219.15