Finding the Third Proportional to 380,460 and 569,650.50

Step by Step Solution

1. Step 1: Write the proportion equation
   380,460 : 569,650.50 = 569,650.50 : x
2. Step 2: Convert to fraction form
   380,460/569,650.50 = 569,650.50/x
3. Step 3: Cross multiply
   380,460x = 569,650.50 × 569,650.50
4. Step 4: Simplify right side
   380,460x = 324,501,692,150.25
5. Step 5: Solve for x
   x = 324,501,692,150.25/380,460
6. Step 6: Final answer
   x = 852,919.34