Finding the Third Proportional to 182,362.50 and 293,004

Step by Step Solution

1. Step 1: Write the proportion equation
   182,362.50 : 293,004 = 293,004 : x
2. Step 2: Convert to fraction form
   182,362.50/293,004 = 293,004/x
3. Step 3: Cross multiply
   182,362.50x = 293,004 × 293,004
4. Step 4: Simplify right side
   182,362.50x = 85,851,344,016
5. Step 5: Solve for x
   x = 85,851,344,016/182,362.50
6. Step 6: Final answer
   x = 470,773.02