Finding the Third Proportional to 183,463 and 280,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   183,463 : 280,665.50 = 280,665.50 : x
2. Step 2: Convert to fraction form
   183,463/280,665.50 = 280,665.50/x
3. Step 3: Cross multiply
   183,463x = 280,665.50 × 280,665.50
4. Step 4: Simplify right side
   183,463x = 78,773,122,890.25
5. Step 5: Solve for x
   x = 78,773,122,890.25/183,463
6. Step 6: Final answer
   x = 429,367.90