Finding the Third Proportional to 185,814 and 258,547.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,814 : 258,547.50 = 258,547.50 : x
2. Step 2: Convert to fraction form
   185,814/258,547.50 = 258,547.50/x
3. Step 3: Cross multiply
   185,814x = 258,547.50 × 258,547.50
4. Step 4: Simplify right side
   185,814x = 66,846,809,756.25
5. Step 5: Solve for x
   x = 66,846,809,756.25/185,814
6. Step 6: Final answer
   x = 359,751.20