Finding the Third Proportional to 256,167 and 377,620.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,167 : 377,620.50 = 377,620.50 : x
2. Step 2: Convert to fraction form
   256,167/377,620.50 = 377,620.50/x
3. Step 3: Cross multiply
   256,167x = 377,620.50 × 377,620.50
4. Step 4: Simplify right side
   256,167x = 142,597,242,020.25
5. Step 5: Solve for x
   x = 142,597,242,020.25/256,167
6. Step 6: Final answer
   x = 556,657.34