Finding the Third Proportional to 272,322 and 419,962.50

Step by Step Solution

1. Step 1: Write the proportion equation
   272,322 : 419,962.50 = 419,962.50 : x
2. Step 2: Convert to fraction form
   272,322/419,962.50 = 419,962.50/x
3. Step 3: Cross multiply
   272,322x = 419,962.50 × 419,962.50
4. Step 4: Simplify right side
   272,322x = 176,368,501,406.25
5. Step 5: Solve for x
   x = 176,368,501,406.25/272,322
6. Step 6: Final answer
   x = 647,646.91