Finding the Third Proportional to 85,468.50 and 142,384.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,468.50 : 142,384.50 = 142,384.50 : x
2. Step 2: Convert to fraction form
   85,468.50/142,384.50 = 142,384.50/x
3. Step 3: Cross multiply
   85,468.50x = 142,384.50 × 142,384.50
4. Step 4: Simplify right side
   85,468.50x = 20,273,345,840.25
5. Step 5: Solve for x
   x = 20,273,345,840.25/85,468.50
6. Step 6: Final answer
   x = 237,202.55