Finding the Third Proportional to 205,884 and 438,007.50

Step by Step Solution

1. Step 1: Write the proportion equation
   205,884 : 438,007.50 = 438,007.50 : x
2. Step 2: Convert to fraction form
   205,884/438,007.50 = 438,007.50/x
3. Step 3: Cross multiply
   205,884x = 438,007.50 × 438,007.50
4. Step 4: Simplify right side
   205,884x = 191,850,570,056.25
5. Step 5: Solve for x
   x = 191,850,570,056.25/205,884
6. Step 6: Final answer
   x = 931,838.17