Finding the Third Proportional to 102,393 and 212,962.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,393 : 212,962.50 = 212,962.50 : x
2. Step 2: Convert to fraction form
   102,393/212,962.50 = 212,962.50/x
3. Step 3: Cross multiply
   102,393x = 212,962.50 × 212,962.50
4. Step 4: Simplify right side
   102,393x = 45,353,026,406.25
5. Step 5: Solve for x
   x = 45,353,026,406.25/102,393
6. Step 6: Final answer
   x = 442,930.93