Finding the Third Proportional to 100,947 and 218,613.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,947 : 218,613.50 = 218,613.50 : x
2. Step 2: Convert to fraction form
   100,947/218,613.50 = 218,613.50/x
3. Step 3: Cross multiply
   100,947x = 218,613.50 × 218,613.50
4. Step 4: Simplify right side
   100,947x = 47,791,862,382.25
5. Step 5: Solve for x
   x = 47,791,862,382.25/100,947
6. Step 6: Final answer
   x = 473,435.19