Finding the Third Proportional to 344,601 and 503,536.50

Step by Step Solution

1. Step 1: Write the proportion equation
   344,601 : 503,536.50 = 503,536.50 : x
2. Step 2: Convert to fraction form
   344,601/503,536.50 = 503,536.50/x
3. Step 3: Cross multiply
   344,601x = 503,536.50 × 503,536.50
4. Step 4: Simplify right side
   344,601x = 253,549,006,832.25
5. Step 5: Solve for x
   x = 253,549,006,832.25/344,601
6. Step 6: Final answer
   x = 735,775.60