Finding the Third Proportional to 180,558 and 279,436.50

Step by Step Solution

1. Step 1: Write the proportion equation
   180,558 : 279,436.50 = 279,436.50 : x
2. Step 2: Convert to fraction form
   180,558/279,436.50 = 279,436.50/x
3. Step 3: Cross multiply
   180,558x = 279,436.50 × 279,436.50
4. Step 4: Simplify right side
   180,558x = 78,084,757,532.25
5. Step 5: Solve for x
   x = 78,084,757,532.25/180,558
6. Step 6: Final answer
   x = 432,463.57