Finding the Third Proportional to 416,056 and 594,526.50

Step by Step Solution

1. Step 1: Write the proportion equation
   416,056 : 594,526.50 = 594,526.50 : x
2. Step 2: Convert to fraction form
   416,056/594,526.50 = 594,526.50/x
3. Step 3: Cross multiply
   416,056x = 594,526.50 × 594,526.50
4. Step 4: Simplify right side
   416,056x = 353,461,759,202.25
5. Step 5: Solve for x
   x = 353,461,759,202.25/416,056
6. Step 6: Final answer
   x = 849,553.33