Finding the Third Proportional to 379,896 and 601,555.50

Step by Step Solution

1. Step 1: Write the proportion equation
   379,896 : 601,555.50 = 601,555.50 : x
2. Step 2: Convert to fraction form
   379,896/601,555.50 = 601,555.50/x
3. Step 3: Cross multiply
   379,896x = 601,555.50 × 601,555.50
4. Step 4: Simplify right side
   379,896x = 361,869,019,580.25
5. Step 5: Solve for x
   x = 361,869,019,580.25/379,896
6. Step 6: Final answer
   x = 952,547.59