Finding the Third Proportional to 272,617.50 and 413,832

Step by Step Solution

1. Step 1: Write the proportion equation
   272,617.50 : 413,832 = 413,832 : x
2. Step 2: Convert to fraction form
   272,617.50/413,832 = 413,832/x
3. Step 3: Cross multiply
   272,617.50x = 413,832 × 413,832
4. Step 4: Simplify right side
   272,617.50x = 171,256,924,224
5. Step 5: Solve for x
   x = 171,256,924,224/272,617.50
6. Step 6: Final answer
   x = 628,194.90