Finding the Third Proportional to 185,409 and 265,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,409 : 265,477.50 = 265,477.50 : x
2. Step 2: Convert to fraction form
   185,409/265,477.50 = 265,477.50/x
3. Step 3: Cross multiply
   185,409x = 265,477.50 × 265,477.50
4. Step 4: Simplify right side
   185,409x = 70,478,303,006.25
5. Step 5: Solve for x
   x = 70,478,303,006.25/185,409
6. Step 6: Final answer
   x = 380,123.42