Finding the Third Proportional to 380,473 and 589,945.50

Step by Step Solution

1. Step 1: Write the proportion equation
   380,473 : 589,945.50 = 589,945.50 : x
2. Step 2: Convert to fraction form
   380,473/589,945.50 = 589,945.50/x
3. Step 3: Cross multiply
   380,473x = 589,945.50 × 589,945.50
4. Step 4: Simplify right side
   380,473x = 348,035,692,970.25
5. Step 5: Solve for x
   x = 348,035,692,970.25/380,473
6. Step 6: Final answer
   x = 914,744.79