Finding the Third Proportional to 337,557 and 508,927.50

Step by Step Solution

1. Step 1: Write the proportion equation
   337,557 : 508,927.50 = 508,927.50 : x
2. Step 2: Convert to fraction form
   337,557/508,927.50 = 508,927.50/x
3. Step 3: Cross multiply
   337,557x = 508,927.50 × 508,927.50
4. Step 4: Simplify right side
   337,557x = 259,007,200,256.25
5. Step 5: Solve for x
   x = 259,007,200,256.25/337,557
6. Step 6: Final answer
   x = 767,299.15