Finding the Third Proportional to 141,663 and 196,345.50

Step by Step Solution

1. Step 1: Write the proportion equation
   141,663 : 196,345.50 = 196,345.50 : x
2. Step 2: Convert to fraction form
   141,663/196,345.50 = 196,345.50/x
3. Step 3: Cross multiply
   141,663x = 196,345.50 × 196,345.50
4. Step 4: Simplify right side
   141,663x = 38,551,555,370.25
5. Step 5: Solve for x
   x = 38,551,555,370.25/141,663
6. Step 6: Final answer
   x = 272,135.67