Finding the Third Proportional to 140,643 and 210,981.38

Step by Step Solution

1. Step 1: Write the proportion equation
   140,643 : 210,981.38 = 210,981.38 : x
2. Step 2: Convert to fraction form
   140,643/210,981.38 = 210,981.38/x
3. Step 3: Cross multiply
   140,643x = 210,981.38 × 210,981.38
4. Step 4: Simplify right side
   140,643x = 44,513,140,596.89
5. Step 5: Solve for x
   x = 44,513,140,596.89/140,643
6. Step 6: Final answer
   x = 316,497.38