Finding the Third Proportional to 78,003 and 183,951

Step by Step Solution

1. Step 1: Write the proportion equation
   78,003 : 183,951 = 183,951 : x
2. Step 2: Convert to fraction form
   78,003/183,951 = 183,951/x
3. Step 3: Cross multiply
   78,003x = 183,951 × 183,951
4. Step 4: Simplify right side
   78,003x = 33,837,970,401
5. Step 5: Solve for x
   x = 33,837,970,401/78,003
6. Step 6: Final answer
   x = 433,803.45