Finding the Third Proportional to 175,817 and 272,412.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,817 : 272,412.50 = 272,412.50 : x
2. Step 2: Convert to fraction form
   175,817/272,412.50 = 272,412.50/x
3. Step 3: Cross multiply
   175,817x = 272,412.50 × 272,412.50
4. Step 4: Simplify right side
   175,817x = 74,208,570,156.25
5. Step 5: Solve for x
   x = 74,208,570,156.25/175,817
6. Step 6: Final answer
   x = 422,078.47