Finding the Third Proportional to 232,806 and 508,258.50

Step by Step Solution

1. Step 1: Write the proportion equation
   232,806 : 508,258.50 = 508,258.50 : x
2. Step 2: Convert to fraction form
   232,806/508,258.50 = 508,258.50/x
3. Step 3: Cross multiply
   232,806x = 508,258.50 × 508,258.50
4. Step 4: Simplify right side
   232,806x = 258,326,702,822.25
5. Step 5: Solve for x
   x = 258,326,702,822.25/232,806
6. Step 6: Final answer
   x = 1,109,622.19