Finding the Third Proportional to 182,363 and 293,004.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,363 : 293,004.50 = 293,004.50 : x
2. Step 2: Convert to fraction form
   182,363/293,004.50 = 293,004.50/x
3. Step 3: Cross multiply
   182,363x = 293,004.50 × 293,004.50
4. Step 4: Simplify right side
   182,363x = 85,851,637,020.25
5. Step 5: Solve for x
   x = 85,851,637,020.25/182,363
6. Step 6: Final answer
   x = 470,773.33