Finding the Third Proportional to 135,000 and 295,420.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,000 : 295,420.50 = 295,420.50 : x
2. Step 2: Convert to fraction form
   135,000/295,420.50 = 295,420.50/x
3. Step 3: Cross multiply
   135,000x = 295,420.50 × 295,420.50
4. Step 4: Simplify right side
   135,000x = 87,273,271,820.25
5. Step 5: Solve for x
   x = 87,273,271,820.25/135,000
6. Step 6: Final answer
   x = 646,468.68