Finding the Third Proportional to 96,781 and 208,392.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,781 : 208,392.50 = 208,392.50 : x
2. Step 2: Convert to fraction form
   96,781/208,392.50 = 208,392.50/x
3. Step 3: Cross multiply
   96,781x = 208,392.50 × 208,392.50
4. Step 4: Simplify right side
   96,781x = 43,427,434,056.25
5. Step 5: Solve for x
   x = 43,427,434,056.25/96,781
6. Step 6: Final answer
   x = 448,718.59