Finding the Third Proportional to 141,664 and 210,902.50

Step by Step Solution

1. Step 1: Write the proportion equation
   141,664 : 210,902.50 = 210,902.50 : x
2. Step 2: Convert to fraction form
   141,664/210,902.50 = 210,902.50/x
3. Step 3: Cross multiply
   141,664x = 210,902.50 × 210,902.50
4. Step 4: Simplify right side
   141,664x = 44,479,864,506.25
5. Step 5: Solve for x
   x = 44,479,864,506.25/141,664
6. Step 6: Final answer
   x = 313,981.42