Finding the Third Proportional to 102,232 and 209,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,232 : 209,563.50 = 209,563.50 : x
2. Step 2: Convert to fraction form
   102,232/209,563.50 = 209,563.50/x
3. Step 3: Cross multiply
   102,232x = 209,563.50 × 209,563.50
4. Step 4: Simplify right side
   102,232x = 43,916,860,532.25
5. Step 5: Solve for x
   x = 43,916,860,532.25/102,232
6. Step 6: Final answer
   x = 429,580.37