Finding the Third Proportional to 416,664 and 589,963.50

Step by Step Solution

1. Step 1: Write the proportion equation
   416,664 : 589,963.50 = 589,963.50 : x
2. Step 2: Convert to fraction form
   416,664/589,963.50 = 589,963.50/x
3. Step 3: Cross multiply
   416,664x = 589,963.50 × 589,963.50
4. Step 4: Simplify right side
   416,664x = 348,056,931,332.25
5. Step 5: Solve for x
   x = 348,056,931,332.25/416,664
6. Step 6: Final answer
   x = 835,341.98