Finding the Third Proportional to 133,947 and 202,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,947 : 202,642.50 = 202,642.50 : x
2. Step 2: Convert to fraction form
   133,947/202,642.50 = 202,642.50/x
3. Step 3: Cross multiply
   133,947x = 202,642.50 × 202,642.50
4. Step 4: Simplify right side
   133,947x = 41,063,982,806.25
5. Step 5: Solve for x
   x = 41,063,982,806.25/133,947
6. Step 6: Final answer
   x = 306,568.89