Finding the Third Proportional to 185,949 and 402,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,949 : 402,799.50 = 402,799.50 : x
2. Step 2: Convert to fraction form
   185,949/402,799.50 = 402,799.50/x
3. Step 3: Cross multiply
   185,949x = 402,799.50 × 402,799.50
4. Step 4: Simplify right side
   185,949x = 162,247,437,200.25
5. Step 5: Solve for x
   x = 162,247,437,200.25/185,949
6. Step 6: Final answer
   x = 872,537.29