Finding the Third Proportional to 688,099.50 and 740,587.50

Step by Step Solution

1. Step 1: Write the proportion equation
   688,099.50 : 740,587.50 = 740,587.50 : x
2. Step 2: Convert to fraction form
   688,099.50/740,587.50 = 740,587.50/x
3. Step 3: Cross multiply
   688,099.50x = 740,587.50 × 740,587.50
4. Step 4: Simplify right side
   688,099.50x = 548,469,845,156.25
5. Step 5: Solve for x
   x = 548,469,845,156.25/688,099.50
6. Step 6: Final answer
   x = 797,079.27