Finding the Third Proportional to 186,186 and 294,952.50

Step by Step Solution

1. Step 1: Write the proportion equation
   186,186 : 294,952.50 = 294,952.50 : x
2. Step 2: Convert to fraction form
   186,186/294,952.50 = 294,952.50/x
3. Step 3: Cross multiply
   186,186x = 294,952.50 × 294,952.50
4. Step 4: Simplify right side
   186,186x = 86,996,977,256.25
5. Step 5: Solve for x
   x = 86,996,977,256.25/186,186
6. Step 6: Final answer
   x = 467,258.43