Finding the Third Proportional to 119,583 and 251,557.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,583 : 251,557.50 = 251,557.50 : x
2. Step 2: Convert to fraction form
   119,583/251,557.50 = 251,557.50/x
3. Step 3: Cross multiply
   119,583x = 251,557.50 × 251,557.50
4. Step 4: Simplify right side
   119,583x = 63,281,175,806.25
5. Step 5: Solve for x
   x = 63,281,175,806.25/119,583
6. Step 6: Final answer
   x = 529,182.04