Finding the Third Proportional to 183,093 and 277,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   183,093 : 277,222.50 = 277,222.50 : x
2. Step 2: Convert to fraction form
   183,093/277,222.50 = 277,222.50/x
3. Step 3: Cross multiply
   183,093x = 277,222.50 × 277,222.50
4. Step 4: Simplify right side
   183,093x = 76,852,314,506.25
5. Step 5: Solve for x
   x = 76,852,314,506.25/183,093
6. Step 6: Final answer
   x = 419,744.69