Finding the Third Proportional to 381,746 and 590,554.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,746 : 590,554.50 = 590,554.50 : x
2. Step 2: Convert to fraction form
   381,746/590,554.50 = 590,554.50/x
3. Step 3: Cross multiply
   381,746x = 590,554.50 × 590,554.50
4. Step 4: Simplify right side
   381,746x = 348,754,617,470.25
5. Step 5: Solve for x
   x = 348,754,617,470.25/381,746
6. Step 6: Final answer
   x = 913,577.66