Finding the Third Proportional to 380,340 and 584,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   380,340 : 584,662.50 = 584,662.50 : x
2. Step 2: Convert to fraction form
   380,340/584,662.50 = 584,662.50/x
3. Step 3: Cross multiply
   380,340x = 584,662.50 × 584,662.50
4. Step 4: Simplify right side
   380,340x = 341,830,238,906.25
5. Step 5: Solve for x
   x = 341,830,238,906.25/380,340
6. Step 6: Final answer
   x = 898,749.12