Finding the Third Proportional to 145,662.50 and 196,801.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,662.50 : 196,801.50 = 196,801.50 : x
2. Step 2: Convert to fraction form
   145,662.50/196,801.50 = 196,801.50/x
3. Step 3: Cross multiply
   145,662.50x = 196,801.50 × 196,801.50
4. Step 4: Simplify right side
   145,662.50x = 38,730,830,402.25
5. Step 5: Solve for x
   x = 38,730,830,402.25/145,662.50
6. Step 6: Final answer
   x = 265,894.31