Finding the Third Proportional to 379,822.50 and 601,447.50

Step by Step Solution

1. Step 1: Write the proportion equation
   379,822.50 : 601,447.50 = 601,447.50 : x
2. Step 2: Convert to fraction form
   379,822.50/601,447.50 = 601,447.50/x
3. Step 3: Cross multiply
   379,822.50x = 601,447.50 × 601,447.50
4. Step 4: Simplify right side
   379,822.50x = 361,739,095,256.25
5. Step 5: Solve for x
   x = 361,739,095,256.25/379,822.50
6. Step 6: Final answer
   x = 952,389.85