Finding the Third Proportional to 380,314 and 584,623.50

Step by Step Solution

1. Step 1: Write the proportion equation
   380,314 : 584,623.50 = 584,623.50 : x
2. Step 2: Convert to fraction form
   380,314/584,623.50 = 584,623.50/x
3. Step 3: Cross multiply
   380,314x = 584,623.50 × 584,623.50
4. Step 4: Simplify right side
   380,314x = 341,784,636,752.25
5. Step 5: Solve for x
   x = 341,784,636,752.25/380,314
6. Step 6: Final answer
   x = 898,690.65