Finding the Third Proportional to 458,091 and 692,158.50

Step by Step Solution

1. Step 1: Write the proportion equation
   458,091 : 692,158.50 = 692,158.50 : x
2. Step 2: Convert to fraction form
   458,091/692,158.50 = 692,158.50/x
3. Step 3: Cross multiply
   458,091x = 692,158.50 × 692,158.50
4. Step 4: Simplify right side
   458,091x = 479,083,389,122.25
5. Step 5: Solve for x
   x = 479,083,389,122.25/458,091
6. Step 6: Final answer
   x = 1,045,825.81