Finding the Third Proportional to 96,924 and 205,573.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,924 : 205,573.50 = 205,573.50 : x
2. Step 2: Convert to fraction form
   96,924/205,573.50 = 205,573.50/x
3. Step 3: Cross multiply
   96,924x = 205,573.50 × 205,573.50
4. Step 4: Simplify right side
   96,924x = 42,260,463,902.25
5. Step 5: Solve for x
   x = 42,260,463,902.25/96,924
6. Step 6: Final answer
   x = 436,016.51